Chemistry · Textbook solutions
Chemical Kinetics
Every solved example, exercise, and miscellaneous question, in the order the textbook teaches them. Plus every board question asked from this chapter. · 49 questions
Worked Examples
10 q
Solved Examples
Worked · 10
- Eg 3.1From the concentrations of (butyl chloride) at different times given below, calculate the average rate of the reaction: during different intervals of time.
0 50 100 150 200 300 400 700 800 0.100 0.0905 0.0820 0.0741 0.0671 0.0549 0.0439 0.0210 0.017 - Eg 3.2The decomposition of in at 318K has been studied by monitoring the concentration of in the solution. Initially the concentration of is and after 184 minutes, it is reduced to . The reaction takes place according to the equation Calculate the average rate of this reaction in terms of hours, minutes and seconds. What is the rate of production of during this period?
- Eg 3.3Calculate the overall order of a reaction which has the rate expression (a) Rate (b) Rate
- Eg 3.4Identify the reaction order from each of the following rate constants. (i) (ii)
- Eg 3.5The initial concentration of in the following first order reaction was at . The concentration of after 60 minutes was . Calculate the rate constant of the reaction at .
- Eg 3.6The following data were obtained during the first order thermal decomposition of at constant volume:Calculate the rate constant.
S.No. Time/s Total Pressure/(atm) 1. 2. - Eg 3.7A first order reaction is found to have a rate constant, . Find the half-life of the reaction.
- Eg 3.8Show that in a first order reaction, time required for completion of 99.9% is 10 times of half-life of the reaction.
- Eg 3.9The rate constants of a reaction at 500K and 700K are and respectively. Calculate the values of and .
- Eg 3.10The first order rate constant for the decomposition of ethyl iodide by the reaction at 600K is . Its energy of activation is . Calculate the rate constant of the reaction at 700K.
Intext Questions
9 q
- Intext 3.1For the reaction , the concentration of a reactant changes from 0.03M to 0.02M in 25 minutes. Calculate the average rate of reaction using units of time both in minutes and seconds.
- Intext 3.2In a reaction, Products, the concentration of A decreases from to in 10 minutes. Calculate the rate during this interval?
- Intext 3.3For a reaction, ; the rate law is given by, . What is the order of the reaction?
- Intext 3.4The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y ?
- Intext 3.5A first order reaction has a rate constant . How long will of this reactant take to reduce to ?
- Intext 3.6Time required to decompose to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.
- Intext 3.7What will be the effect of temperature on rate constant ?
- Intext 3.8The rate of the chemical reaction doubles for an increase of 10K in absolute temperature from 298K. Calculate .
- Intext 3.9The activation energy for the reaction is at 581K. Calculate the fraction of molecules of reactants having energy equal to or greater than activation energy?
Exercises
30 q
- Ex 3.1From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants. (i) Rate (ii) Rate (iii) Rate (iv) Rate
- Ex 3.2For the reaction: the rate with . Calculate the initial rate of the reaction when , . Calculate the rate of reaction after is reduced to .
- Ex 3.3The decomposition of on platinum surface is zero order reaction. What are the rates of production of and if ?
- Ex 3.4The decomposition of dimethyl ether leads to the formation of , and and the reaction rate is given by Rate The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i.e., Rate If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants?
- Ex 3.5Mention the factors that affect the rate of a chemical reaction.
- Ex 3.6A reaction is second order with respect to a reactant. How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half ?
- Ex 3.7What is the effect of temperature on the rate constant of a reaction? How can this effect of temperature on rate constant be represented quantitatively?
- Ex 3.8In a pseudo first order reaction in water, the following results were obtained:Calculate the average rate of reaction between the time interval 30 to 60 seconds.
0 30 60 90 0.55 0.31 0.17 0.085 - Ex 3.9A reaction is first order in A and second order in B. (i) Write the differential rate equation. (ii) How is the rate affected on increasing the concentration of B three times? (iii) How is the rate affected when the concentrations of both A and B are doubled?
- Ex 3.10In a reaction between A and B, the initial rate of reaction was measured for different initial concentrations of A and B as given below:What is the order of the reaction with respect to A and B?
0.20 0.20 0.40 0.30 0.10 0.05 - Ex 3.11The following results have been obtained during the kinetic studies of the reaction:Determine the rate law and the rate constant for the reaction.
Experiment Initial rate of formation of I 0.1 0.1 II 0.3 0.2 III 0.3 0.4 IV 0.4 0.1 - Ex 3.12The reaction between A and B is first order with respect to A and zero order with respect to B. Fill in the blanks in the following table:
Experiment Initial rate/ I 0.1 0.1 II - 0.2 III 0.4 0.4 - IV - 0.2 - Ex 3.13Calculate the half-life of a first order reaction from their rate constants given below: (i) (ii) (iii)
- Ex 3.14The half-life for radioactive decay of is 5730 years. An archaeological artifact containing wood had only 80% of the found in a living tree. Estimate the age of the sample.
- Ex 3.15The experimental data for decomposition of in gas phase at 318K are given below:(i) Plot against . (ii) Find the half-life period for the reaction. (iii) Draw a graph between and . (iv) What is the rate law ? (v) Calculate the rate constant. (vi) Calculate the half-life period from and compare it with (ii).
0 400 800 1200 1600 2000 2400 2800 3200 1.63 1.36 1.14 0.93 0.78 0.64 0.53 0.43 0.35 - Ex 3.16The rate constant for a first order reaction is . How much time will it take to reduce the initial concentration of the reactant to its value?
- Ex 3.17During nuclear explosion, one of the products is with half-life of 28.1 years. If of was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically.
- Ex 3.18For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.
- Ex 3.19A first order reaction takes 40 min for 30% decomposition. Calculate .
- Ex 3.20For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.Calculate the rate constant.
(sec) P(mm of Hg) 0 35.0 360 54.0 720 63.0 - Ex 3.21The following data were obtained during the first order thermal decomposition of at a constant volume.Calculate the rate of the reaction when total pressure is 0.65 atm.
Experiment Time/ Total pressure/atm 1 0 0.5 2 100 0.6 - Ex 3.22The rate constant for the decomposition of at various temperatures is given below:Draw a graph between and and calculate the values of and . Predict the rate constant at and .
0 20 40 60 80 0.0787 1.70 25.7 178 2140 - Ex 3.23The rate constant for the decomposition of hydrocarbons is at 546 K. If the energy of activation is , what will be the value of pre-exponential factor.
- Ex 3.24Consider a certain reaction Products with . Calculate the concentration of remaining after 100 s if the initial concentration of is .
- Ex 3.25Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law, with hours. What fraction of sample of sucrose remains after 8 hours ?
- Ex 3.26The decomposition of hydrocarbon follows the equation Calculate .
- Ex 3.27The rate constant for the first order decomposition of is given by the following equation: Calculate for this reaction and at what temperature will its half-period be 256 minutes?
- Ex 3.28The decomposition of A into product has value of as at and energy of activation . At what temperature would be ?
- Ex 3.29The time required for 10% completion of a first order reaction at 298K is equal to that required for its 25% completion at 308K. If the value of is . Calculate at 318K and .
- Ex 3.30The rate of a reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature.
What the board has asked from this chapter
Questions per paper · 26 papers · 2022 to 2026
Bars average the full papers of each year. 69 further questions come from set variants and are listed below.
2022: 3.2 questions per paper. 2023: 4.6 questions per paper. 2024: 4 questions per paper. 2025: 4.5 questions per paper. 2026: 4.2 questions per paper
2026
33 q
- 1Which of the following curve represents the first order reaction ?
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Integrated Rate Equations - 2Identify the correct statement :
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Factors Influencing Rate of a Reaction - 3The order for the given reaction is : Products Rate
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Factors Influencing Rate of a Reaction - 4Which of the following represents the fraction of molecules with energies equal to or greater than ?
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Temperature Dependence of the Rate of a Reaction - 4For a reaction : , the rate of reaction with respect to is
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Rate of a Chemical Reaction - 7Half-life of a first order reaction is 1386 s. The value of rate constant is :
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Integrated Rate Equations - 10The rate of a first order reaction is mol , when the concentration of reactant is mol . The rate constant ‘k’ is :
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Factors Influencing Rate of a Reaction - 11For a reaction , the rate of reaction is equal to :
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Rate of a Chemical Reaction - 11The half-life periods of decomposition of for different initial pressures are given below :The order of the reaction is :
p (torr) 704 75 (min) 80 80 80 Tap an option to check your answer.
Integrated Rate Equations - 11The activation energy of a reaction can be determined from the slope of which of the following curves ?
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Temperature Dependence of the Rate of a Reaction - 12For the reaction , the rate of reaction is equal to :
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Rate of a Chemical Reaction - For question number 13 to 16, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :13Assertion (A) : The molecularity of the given reaction is 2 Reason (R) : Two molecules of the reactants are involved in simultaneous collision between them.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.15Assertion (A) : For complex reaction, order of reaction is given by the slowest step. Reason (R) : Order of reaction is not applicable for the complex reaction.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.15Assertion (A) : For complex reaction, order of reaction is given by the slowest step. Reason (R) : Order of a reaction is an experimental quantity.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.15Assertion (A) : For complex reaction, order of reaction is given by the fast step. Reason (R) : Order of reaction is determined experimentally.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :16Assertion (A) : Order of reaction is applicable to elementary as well as complex reactions. Reason (R) : For a complex reaction, molecularity has no meaning.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :16Assertion (A) : Order of reaction is applicable to elementary as well as complex reactions. Reason (R) : Order of a reaction is an experimental quantity.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :16Assertion (A) : Order of reaction is not applicable for elementary reaction but applicable for complex reaction. Reason (R) : Order of reaction is an experimental quantity.
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Factors Influencing Rate of a Reaction - 17(a) Reactions of which order will show the rate to be independent of the concentration of the reactant ? Give one example of this order. (b) State the condition under which a bimolecular reaction may be kinetically a first order reaction.Integrated Rate Equations
- 17 (A)The concentration of the reactant is reduced from 0.6 mol to 0.2 mol in 5 minutes in a first order reaction. Calculate rate constant of the reaction. (log 3 = 0.48)Integrated Rate Equations
- 18For a reaction , the rate law is : Write the overall order of the reaction. Can this reaction be an elementary reaction ? Give reason in support of your answer.Factors Influencing Rate of a Reaction
- 18(a) Define Effective collision. (b) Write the unit of (i) second order reaction and (ii) zero order reactionCollision Theory of Chemical Reactions
- 18(a) Define Collision frequency. (b) Write the units of (i) first order reaction and (ii) zero order reactionCollision Theory of Chemical Reactions
- 17 (B)Rate constant k for the first order reaction is . Calculate the time required for three-fourth of the reactant to decompose. (log 4 = 0.60)Integrated Rate Equations
- 18(a) Define activation energy. (b) Write the unit of rate constant for (i) zero order reaction, (ii) second order reaction.Temperature Dependence of the Rate of a Reaction
- 21Following reaction takes place in one step : How will the rate of above reaction change if the volume of the reaction vessel is decreased to one third of its original volume ? Will there be any change in the order of reaction with the reduced volume ?Factors Influencing Rate of a Reaction
- 22The half-life period of a radioactive element is years. Calculate the time in which the activity of the element is reduced to 75% of its original value. [Given : ]Integrated Rate Equations
- 22For the first order thermal decomposition reaction, following data was obtained :Calculate rate constant. [Given : log 3 = 0.48]
S. No. Time(s) Total Pressure (atm) 1 0 0.30 2 30 0.50 Integrated Rate Equations - 23(a) Define order of a reaction. (b) The rate for the following reaction is given by : Rate = (i) How is the rate of reaction affected if we double the concentration of B ? (ii) Write the overall order of a reaction if ‘A’ is present in large excess.Factors Influencing Rate of a Reaction
- 24The rate of the chemical reaction doubles when the temperature is raised from 298 K to 308 K. Calculate activation energy for this reaction assuming that it does not change with temperature. (Given : R = J , log 2 = )Temperature Dependence of the Rate of a Reaction
- 24The rate of a particular reaction quadruples when the temperature increases from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature. (Given : log 4 = , R = )Temperature Dependence of the Rate of a Reaction
- 24The rate of a particular reaction quadruples when the temperature increases from 300 K to 320 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature. (Given : log 4 = , R = )Temperature Dependence of the Rate of a Reaction
- 27Consider the decomposition of hydrogen peroxide as per the equation given below : The mechanism for this reaction was found to be : Step I : (slow) Step II : (fast) (a) Write the rate law expression. (b) Determine the order of reaction with respect to , and overall order of reaction. (c) What is the molecularity of the reaction in Step II ?Factors Influencing Rate of a Reaction
2025
41 q
- 1The role of a catalyst is to change :
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Factors Influencing Rate of a Reaction - 2Which among the following is a false statement ?
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Factors Influencing Rate of a Reaction - 3The number of molecules that react with each other in an elementary reaction is a measure of the :
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Factors Influencing Rate of a Reaction - 4The activation energy of a reaction can be determined from the slope of which of the following plots ?
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Temperature Dependence of the Rate of a Reaction - 4Which of the following is the slope of the first order reaction in the plot of vs. time ?
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Integrated Rate Equations - 4Unit of rate constant ‘k’ for a second order reaction is :
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Factors Influencing Rate of a Reaction - 5Which of the following represents the fraction of molecules with energies equal to or greater than ?
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Temperature Dependence of the Rate of a Reaction - 5A plot between concentration of reactant and time 't' is shown below. Which of the given order of reaction is indicated by the graph ?
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Integrated Rate Equations - 11The value of rate constant for a pseudo first order reaction :
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Integrated Rate Equations - 11In the Arrhenius equation , ‘A’ represents :
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Temperature Dependence of the Rate of a Reaction - 11The unit of rate and rate constant are same for a :
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Rate of a Chemical Reaction - For question number 13 to 16, two statements are given - one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :13Assertion (A) : In a first order reaction, if the concentration of the reactant is doubled, its half-life is also doubled. Reason (R) : The half-life of a reaction does not depend upon the initial concentration of the reactant in a first order reaction.
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Integrated Rate Equations - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Hydrolysis of an ester follows first order kinetics. Reason (R) : The concentration of water does not get altered much during the reaction.
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Integrated Rate Equations - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Order of the reaction can be zero or fractional. Reason (R) : We cannot determine order from balanced chemical equation.
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Molecularity of reaction is determined experimentally. Reason (R) : Molecularity is applicable only for an elementary reaction and not for a complex reaction.
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Factors Influencing Rate of a Reaction - 17 (A)The rate constant for a zero order reaction is 0.0030 mol . How long will it take for the initial concentration of A to fall from 0.10 M to 0.075 M ?Integrated Rate Equations
- 17 (a)Reactant ‘A’ underwent a decomposition reaction. The concentration of ‘A’ was measured periodically and recorded in the table given below :Based on the above data, predict the order of the reaction and write the expression for the rate law.
Time / Hours [A]/M 0 1 2 3 Integrated Rate Equations - 18Observe the graph in the given figure and answer the following questions : (a) Predict the order of reaction. (b) What is the slope of the curve ?Integrated Rate Equations
- 18Why is molecularity applicable only for elementary reactions and order is applicable for elementary as well as complex reactions ?Factors Influencing Rate of a Reaction
- 18A reaction is of second order with respect to a reactant. How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half ?Factors Influencing Rate of a Reaction
- 17 (B)The decomposition of on platinum surface is zero order reaction. What are the rates of production of and if k = mol ?Rate of a Chemical Reaction
- 17 (b)The reaction between and was carried out in a sealed isothermal container. The rate law for the reaction was found to be : If 1 mole of was added to the reaction chamber and the temperature was kept constant, then predict the change in rate of the reaction and the rate constant.Factors Influencing Rate of a Reaction
- 18What is meant by the Rate law and Rate constant of a reaction. Identify the order of a reaction if the units of its Rate constant are : (a) (b)Factors Influencing Rate of a Reaction
- 18State a condition under which a bimolecular reaction is kinetically first order reaction. Give an example. For which type of reactions, do order and molecularity have the same value ?Integrated Rate Equations
- 18Define the following terms : (a) Pseudo first order reaction (b) Half-life period of reactionIntegrated Rate Equations
- 19(a) Give any two differences between order and molecularity of a reaction. (b) For a reaction , in which both X and Y follow first order kinetics; if the concentration of X is increased 2 times and concentration of Y is increased 3 times, how does it affect the rate of reaction ?Factors Influencing Rate of a Reaction
- 19(a) Define rate constant. (b) Identify the reaction order which has a rate constant of L .Factors Influencing Rate of a Reaction
- 19(a) Write the rate law expression for the reaction , if the order of the reaction is zero. (b) What is the effect of temperature on the rate of reaction ? Write a mathematical expression for the same.Factors Influencing Rate of a Reaction
- 21 (a)The reaction between and was carried out in a sealed isothermal container. The rate law for the reaction was found to be : If 1 mole of was added to the reaction chamber and the temperature was kept constant, then predict the change in rate of the reaction and the rate constant.Factors Influencing Rate of a Reaction
- 21 (b)Reactant ‘A’ underwent a decomposition reaction. The concentration of ‘A’ was measured periodically and recorded in the table given below :Based on the above data, predict the order of the reaction and write the expression for the rate law.
Time / Hours [A]/M 0 1 2 3 Integrated Rate Equations - 23The rate of a reaction : A + B product is given below as a function of different initial concentrations of A and B.Calculate the order of the reaction with respect to A and B. Determine the rate constant of the reaction.
Experiment [A] / mol [B] / mol Initial Rate/mol 1 2 3 Factors Influencing Rate of a Reaction - 23For the reaction Products, the following initial rates were obtained at various initial concentrations of reactants :Determine the order of the reaction with respect to A and B and overall order of the reaction.
Sl. No. Initial rate 1 2 3 Factors Influencing Rate of a Reaction - 24A certain reaction is 50% complete in 20 minutes at 300 K and the same reaction is 50% complete in 5 minutes at 350 K. Calculate the activation energy if it is a first order reaction. [R = 8.314 J ; log 4 = 0.602]Temperature Dependence of the Rate of a Reaction
- 24The rate of a reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature. [Given : log 4 = 0.602, log 2 = 0.301, R = 8.314 J ]Temperature Dependence of the Rate of a Reaction
- 24The following data were obtained during the first order thermal decomposition of at constant volume :Calculate rate constant. [ Given : log 2 = , log 10 = 1 ]
S.No. Time/s Total Pressure/atm 1 0 2 100 Integrated Rate Equations - The rate of a chemical reaction is expressed either in terms of decrease in the concentration of reactants or increase in the concentration of a product per unit time. Rate of the reaction depends upon the nature of reactants, concentration of reactants, temperature, presence of catalyst, surface area of the reactants and presence of light. Rate of reaction is directly related to the concentration of reactant. Rate law states that the rate of reaction depends upon the concentration terms on which the rate of reaction actually depends, as observed experimentally. The sum of powers of the concentration of the reactants in the Rate law expression is called order of reaction while the number of reacting species taking part in an elementary reaction which must collide simultaneously in order to bring about a chemical reaction is called molecularity of the reaction.29 (a)(i) What is a rate determining step ? (ii) Define complex reaction.Factors Influencing Rate of a Reaction
- The rate of a chemical reaction is expressed either in terms of decrease in the concentration of reactants or increase in the concentration of a product per unit time. Rate of the reaction depends upon the nature of reactants, concentration of reactants, temperature, presence of catalyst, surface area of the reactants and presence of light. Rate of reaction is directly related to the concentration of reactant. Rate law states that the rate of reaction depends upon the concentration terms on which the rate of reaction actually depends, as observed experimentally. The sum of powers of the concentration of the reactants in the Rate law expression is called order of reaction while the number of reacting species taking part in an elementary reaction which must collide simultaneously in order to bring about a chemical reaction is called molecularity of the reaction.29 (b)What is the effect of temperature on the rate constant of a reaction ?Temperature Dependence of the Rate of a Reaction
- The rate of a chemical reaction is expressed either in terms of decrease in the concentration of reactants or increase in the concentration of a product per unit time. Rate of the reaction depends upon the nature of reactants, concentration of reactants, temperature, presence of catalyst, surface area of the reactants and presence of light. Rate of reaction is directly related to the concentration of reactant. Rate law states that the rate of reaction depends upon the concentration terms on which the rate of reaction actually depends, as observed experimentally. The sum of powers of the concentration of the reactants in the Rate law expression is called order of reaction while the number of reacting species taking part in an elementary reaction which must collide simultaneously in order to bring about a chemical reaction is called molecularity of the reaction.29 (b) ORWhy is molecularity applicable only for elementary reactions whereas order is applicable for elementary as well as complex reactions ?Factors Influencing Rate of a Reaction
- The rate of a chemical reaction is expressed either in terms of decrease in the concentration of reactants or increase in the concentration of a product per unit time. Rate of the reaction depends upon the nature of reactants, concentration of reactants, temperature, presence of catalyst, surface area of the reactants and presence of light. Rate of reaction is directly related to the concentration of reactant. Rate law states that the rate of reaction depends upon the concentration terms on which the rate of reaction actually depends, as observed experimentally. The sum of powers of the concentration of the reactants in the Rate law expression is called order of reaction while the number of reacting species taking part in an elementary reaction which must collide simultaneously in order to bring about a chemical reaction is called molecularity of the reaction.29 (c)The conversion of molecule X to Y follows second order kinetics. If concentration of X is increased 3 times, how will it affect the rate of formation of Y ?Factors Influencing Rate of a Reaction
- 33 (a)(i) The initial concentration of in the first order reaction : was mol . The concentration of after 60 minutes was mol . Calculate the rate constant of the reaction at 318 K. [log 6 = ] (ii) Account for the following : (I) We cannot determine the order of a reaction by taking into consideration the balanced chemical equation. (II) A bimolecular reaction may become kinetically of first order under a specified condition.Integrated Rate Equations
- 33 (b)(i) The rate of the chemical reaction doubles for an increase of 10 K in absolute temperature from 298 K. Calculate activation energy . [ R = , log 2 = ] (ii) For a reaction : the proposed mechanism is as given below : (I) (slow) (II) (fast) (1) Write rate law for the reaction. (2) Write the overall order and molecularity of the reaction.Temperature Dependence of the Rate of a Reaction
2024
39 q
- 5For the reaction , the differential form equation of the rate law is :
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Rate of a Chemical Reaction - 5A zero-order reaction is one whose rate is independent of :
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Integrated Rate Equations - 6A reaction occurs by the following mechanism : (slow) (fast) (fast) Its order would be :
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Factors Influencing Rate of a Reaction - 7In effective collisions the colliding molecules must have :
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Collision Theory of Chemical Reactions - 7The fraction of molecules having energy equal to or greater than activation energy is :
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Temperature Dependence of the Rate of a Reaction - 7The correct Mathematical expression of Arrhenius equation is
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Temperature Dependence of the Rate of a Reaction - 8The rate of a reaction increases sixteen times when the concentration of the reactant increases four times. The order of the reaction is
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Factors Influencing Rate of a Reaction - 9In the Arrhenius equation, when log k is plotted against 1/T, a straight line is obtained whose :
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Temperature Dependence of the Rate of a Reaction - 10When a catalyst increases the rate of a chemical reaction, then the rate constant (k) :
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Factors Influencing Rate of a Reaction - 10Half-life period of a first order reaction is 1386 seconds. The rate constant (k) of the reaction is :
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Integrated Rate Equations - 10In a given graph of zero order reaction, the slope and intercept are :
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Integrated Rate Equations - 10The half life of a first order reaction with rate constant (k) of 3 is :
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Integrated Rate Equations - 10For a certain reaction products, a plot of log [R] vs. time gives a straight line with a slope of . The order of the reaction is :
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Integrated Rate Equations - 11The addition of catalyst during a chemical reaction alters which of the following quantities of the reaction ?
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Factors Influencing Rate of a Reaction - 11For a zero order reaction products, is : where = initial concentration of the reactant, k = rate constant.
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Integrated Rate Equations - 11When the initial concentration of a reactant is doubled in the reaction, the half life period remains same. The order of reaction is :
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Integrated Rate Equations - 12The rate of the reaction is given by . The value of rate constant (k) can be increased by :
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Temperature Dependence of the Rate of a Reaction - 12For the elementary reaction , the rate of disappearance of 'P' increases by a factor of 8 upon doubling the concentration of 'P'. The order of the reaction with respect to 'P' is :
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Factors Influencing Rate of a Reaction - 12For the reaction . The order of the reaction is
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Factors Influencing Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Rate of reaction decreases with increase in temperature. Reason (R) : Number of effective collisions increases with increase in temperature.
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Temperature Dependence of the Rate of a Reaction - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Rate of reaction increases with increase in temperature. Reason (R) : Number of effective collisions increase with increase in temperature.
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Temperature Dependence of the Rate of a Reaction - For questions number 13 to 16, two statements are given one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :14Assertion (A) : The units of rate constant of a zero order reaction and rate of reaction are the same. Reason (R) : In zero order reaction, the rate of reaction is independent of the concentration of reactants.
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Integrated Rate Equations - For Questions number 13 to 16, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.14Assertion (A) : Order of reaction and molecularity are always same for complex reactions. Reason (R) : Order is determined experimentally and molecularity is applicable only for elementary reactions.
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Factors Influencing Rate of a Reaction - 17Define the following terms : (a) Molecularity of reaction (b) Complex reactionFactors Influencing Rate of a Reaction
- 17Define the following terms : (a) Half life period () (b) Effective collisionsIntegrated Rate Equations
- 17Define the following terms : (a) Order of a reaction (b) Activation energyFactors Influencing Rate of a Reaction
- 18Define molecularity of the reaction. State any one condition in which a bimolecular reaction may be kinetically of first order.Factors Influencing Rate of a Reaction
- 18A first order reaction has a rate constant . How long will 5 g of this reactant take to reduce to g ? [ log 2 = , log 3 = , log 4 = ]Integrated Rate Equations
- 18(a) In a reaction, if the concentration of reactant 'X' is tripled, the rate of reaction becomes twenty-seven times. What is the order of the reaction ? (b) State a condition under which a bimolecular reaction is kinetically a first-order reaction. Give an example of such a reaction.Factors Influencing Rate of a Reaction
- 19For a chemical reaction R P, the variation in the concentration [R] vs time t plot is given as : (a) Predict the order of the reaction and write the unit of rate constant (k) for this order of reaction. (b) What is the slope of the curve ?Integrated Rate Equations
- 20Show that in case of a first order reaction, the time taken for completion of 99% reaction is twice the time required for 90% completion of the reaction. (log 10 = 1)Integrated Rate Equations
- 21Write two differences between order of reaction and molecularity of reaction.Factors Influencing Rate of a Reaction
- 21A first order reaction takes 40 min for 75% decomposition. Calculate rate constant. [Given : log 2 = 0.30, log 4 = 0.60]Integrated Rate Equations
- 23The following initial rate data were obtained for the reaction :(a) What is the order with respect to NO and in the reaction ? (b) Calculate the rate constant (k). (c) Determine the rate of reaction when concentration of NO and are M and M, respectively.
Expt. No. Initial Rate 1 2 3 Factors Influencing Rate of a Reaction - 24A first-order reaction is 25% complete in 40 minutes. Calculate the value of rate constant. In what time will the reaction be 80% complete ? [Given : log 2 = , log 3 = , log 4 = , log 5 = ]Integrated Rate Equations
- 27The rate constant of a reaction quadruples when the temperature changes from 300 K to 320 K. Calculate the activation energy for this reaction. [log 2 = 0.30, log 4 = 0.60, 2.303 R = 19.15 J ]Temperature Dependence of the Rate of a Reaction
- 28The rate of a gaseous reaction triples when temperature is increased from to . Calculate the energy of activation for this reaction. [Given : , log 3 = ]Temperature Dependence of the Rate of a Reaction
- 28The rate constant of a reaction quadruples when the temperature changes from 700 K to 720 K. Calculate the activation energy for this reaction. [log 2 = 0.30, log 4 = 0.60, 2.303 R = 19.15 J ]Temperature Dependence of the Rate of a Reaction
- 28Show that the time required for 99.9% completion in a first order reaction is 10 times of half-life () of the reaction [log 2 = 0.3010, log 10 = 1].Integrated Rate Equations
2023
42 q
- 2The half-life for a zero order reaction equals : where R is the initial concentration.
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Integrated Rate Equations - 2For a zero order reaction of the type products, the rate equation may be expressed as :
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Integrated Rate Equations - 2For the reaction , the rate law is given by , the concentration of A is kept constant while that of B is doubled. The rate of the reaction will :
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Factors Influencing Rate of a Reaction - 4The slope in the plot of vs. time for a first order reaction is
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Integrated Rate Equations - 4The slope in the plot of vs. time for a first order reaction is
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Integrated Rate Equations - 4The slope in the plot of vs. time for a zero order reaction is
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Integrated Rate Equations - 4A first order reaction takes 30 minutes for 50% completion. The value of rate constant k would be :
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Integrated Rate Equations - 5Which of the following is affected by catalyst ?
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Factors Influencing Rate of a Reaction - 6The order of the reaction is :
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Factors Influencing Rate of a Reaction - 7The unit of the rate of reaction is the same as that of the rate constant for a :
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Rate of a Chemical Reaction - 7The rate of reaction , is given by the equation . If B is taken in large excess, the order of reaction would be :
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Factors Influencing Rate of a Reaction - 10The number of molecules that react with each other in an elementary reaction is a measure of the :
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Factors Influencing Rate of a Reaction - 10If the initial concentration is reduced to th in a zero order reaction, then the time taken for half the reaction to complete :
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Integrated Rate Equations - 10In a reaction, the initial concentration of the reactants increases four fold and the rate becomes sixteen times its initial value. The order of the reaction is :
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Factors Influencing Rate of a Reaction - 11The half-life of a reaction is doubled when the initial concentration is doubled. The order of the reaction is :
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Integrated Rate Equations - 12For the reaction , rate of reaction is equal to
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Rate of a Chemical Reaction - 12For a reaction , rate of reaction is equal to
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Rate of a Chemical Reaction - 12For the reaction , rate of reaction is equal to
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Rate of a Chemical Reaction - 13The following experimental rate data were obtained for a reaction carried out at 25 °C :What are the orders with respect to and ?
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Factors Influencing Rate of a Reaction - For Questions number 15 to 18, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.15Assertion (A) : Order and molecularity of a reaction are always same. Reason (R) : Complex reactions involve a sequence of elementary reactions and the slowest step is rate determining.
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Factors Influencing Rate of a Reaction - For questions number 15 to 18, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below :16Assertion (A) : For a zero order reaction the unit of rate constant and rate of reaction are same. Reason (R) : Rate of reaction for zero order reaction is independent of concentration of reactant.
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Integrated Rate Equations - For questions number 15 to 18, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below :16Assertion (A) : The half life of a reaction is the time in which the concentration of the reactant is reduced to one half of its initial concentration. Reason (R) : In first order kinetics when concentration of reactant is doubled, its half life is doubled.
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Integrated Rate Equations - For questions number 15 to 18, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below :16Assertion (A) : Order of reaction is applicable to elementary as well as complex reactions. Reason (R) : For a complex reaction molecularity has no meaning.
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Factors Influencing Rate of a Reaction - For Questions number 15 to 18, two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.17Assertion (A) : The molecularity of the reaction appears to be 2. Reason (R) : Two molecules of the reactants are involved in the given elementary reaction.
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Factors Influencing Rate of a Reaction - 20A chemical reaction in gas phase was carried out in a closed vessel. The concentration of was found to increase by mol in 10 seconds. Calculate : (a) the rate of formation of , and (b) the rate of consumption of .Rate of a Chemical Reaction
- 20The half-life of a first order reaction is 60 minutes. How long will it take to consume 90% of the reactant ? [Given : log 2 = , log 3 = , log 10 = 1]Integrated Rate Equations
- 20What happens to the rate constant k and activation energy as the temperature of a chemical reaction is increased ? Justify.Temperature Dependence of the Rate of a Reaction
- 21(a) The conversion of molecule A to B followed second order kinetics. If concentration of A increased to three times, how will it affect the rate of formation of B ? (b) Define Pseudo first order reaction with an example.Factors Influencing Rate of a Reaction
- 22The rate constant for the first order decomposition of is given by the following equation : Calculate for this reaction.Temperature Dependence of the Rate of a Reaction
- 24The following data were obtained for the reaction :Determine the overall order of reaction.
Experiment No. Initial rate 1 2 3 Factors Influencing Rate of a Reaction - 26(a) For the reaction at 318 K calculate the rate of reaction if rate of disappearance of is m . (b) For a first order reaction derive the relationshipIntegrated Rate Equations
- 28A first order reaction is 50% complete in 30 minutes at 300 K and in 10 minutes at 320 K. Calculate activation energy for the reaction. [Given : log 2 = 0.3010, log 3 = 0.4771, log 4 = 0.6021]Temperature Dependence of the Rate of a Reaction
- 29The rate of a reaction doubles when temperature changes from to . Calculate energy of activation for the reaction. (R = J ) (Given : log 2 = , log 3 = , log 4 = )Temperature Dependence of the Rate of a Reaction
- 30The following data were obtained during the first order thermal decomposition of at a constant volume :Calculate the rate constant. (Given : log 2 = , log 3 = , log 4 = )
Experiment Time () Total pressure (atm) 1 0 2 100 Integrated Rate Equations - The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate Constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (i)What is average rate of reaction ?Rate of a Chemical Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (i)What is average rate of reaction ?Rate of a Chemical Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (ii)Write two factors that affect the rate of reaction.Factors Influencing Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate Constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (ii)Write two factors that affect the rate of reaction.Factors Influencing Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate Constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (iii) (a)(1) What happens to rate of reaction for zero order reaction ? (2) What is the unit of k for zero order reaction ?Integrated Rate Equations
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (iii) (a)(1) What happens to rate of reaction for zero order reaction ? (2) What is the unit of k for zero order reaction ?Integrated Rate Equations
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate Constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (iii) (b)(1) For a reaction Rate . What is the order of the reaction ? (2) Define pseudo first order reaction with an example.Factors Influencing Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. Mathematical representation of rate of reaction is given by rate law. Rate constant and order of a reaction can be determined from rate law or its integrated rate equation.31 (iii) (b)(1) For a reaction Rate . What is the order of the reaction ? (2) Define pseudo first order reaction with an example.Factors Influencing Rate of a Reaction
2022
21 q
- 1(a) A reaction is second order in X and first order in Y. How is the rate affected when the concentrations of both X and Y are doubled ? (b) Write the units of 'k' for (i) zero order reaction (ii) first order reactionFactors Influencing Rate of a Reaction
- 1Define rate of reaction. Write two factors that affect the rate of reaction.Rate of a Chemical Reaction
- 1Answer the following questions (Do any two) : (a) Identify the order of reaction from the following unit for its rate constant : (b) The conversion of molecules A to B follow second order kinetics. If concentration of A is increased to three times, how will it affect the rate of formation of B? (c) Write the expression of integrated rate equation for zero order reaction.Integrated Rate Equations
- 2In the given reaction the rate of formation of is mol . Calculate the (i) rate of reaction, and (ii) rate of disappearance of .Rate of a Chemical Reaction
- 3In a reaction , the concentration of decreases from mol to mol in 10 minutes. Calculate the average rate of this reaction and rate of production of during this period.Rate of a Chemical Reaction
- 3A reaction is first order in X and second order in Y. (i) How is the rate affected on increasing the concentration of Y three times ? (ii) How is the rate affected when the concentrations of both X and Y are doubled ?Factors Influencing Rate of a Reaction
- 3What do you mean by complex reactions ? Can we determine order and molecularity of a complex reaction ?Factors Influencing Rate of a Reaction
- 4Observe the graph shown in figure and answer the following questions : (a) What is the order of the reaction ? (b) What is the slope of the curve? (c) Write the relationship between and (half life period)Integrated Rate Equations
- 6A first order reaction is 50% complete in 40 minutes. Calculate the time required for the completion of 90% of reaction. [Given : log 2 = 0.3010, log 10 = 1]Integrated Rate Equations
- 7Observe the graph shown in figure and answer the following questions : (a) What is the order of the reaction ? (b) What is the slope of the curve? (c) Write the relationship between and (half life period).Integrated Rate Equations
- 7A first order reduction takes 30 minutes for 75% decomposition. Calculate . Given : [, , , ]Integrated Rate Equations
- The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a general reaction aA + bB C with no intermediate steps in its reaction mechanism, meaning that it is an elementary reaction, the rate law is given by , where [A] and [B] express the concentrations of A and B in moles per litre. Exponents x and y vary for each reaction and are determined experimentally. The value of k varies with conditions that affect reaction rate, such as temperature, pressure, surface area, etc. The sum of these exponents is known as overall reaction order. A zero order reaction has a constant rate that is independent of the concentration of the reactants. A first order reaction depends on the concentration of only one reactant. A reaction is said to be second order when the overall order is two. Once we have determined the order of the reaction, we can go back and plug in one set of our initial values and solve for k.12 (i)Calculate the overall order of a reaction which has the following rate expression :Factors Influencing Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst affect the rate of reaction. Mathematical representation of rate of a reaction is given by rate law : x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of x + y gives the overall order of a reaction. When a sequence of elementary reactions gives us the products, the reactions are called complex reactions. Molecularity and order of an elementary reaction are same. Zero order reactions are relatively uncommon but they occur under special conditions. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.12 (a)What is the effect of temperature on the rate constant of a reaction ?Temperature Dependence of the Rate of a Reaction
- The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a general reaction aA + bB C with no intermediate steps in its reaction mechanism, meaning that it is an elementary reaction, the rate law is given by , where [A] and [B] express the concentrations of A and B in moles per litre. Exponents x and y vary for each reaction and are determined experimentally. The value of k varies with conditions that affect reaction rate, such as temperature, pressure, surface area, etc. The sum of these exponents is known as overall reaction order. A zero order reaction has a constant rate that is independent of the concentration of the reactants. A first order reaction depends on the concentration of only one reactant. A reaction is said to be second order when the overall order is two. Once we have determined the order of the reaction, we can go back and plug in one set of our initial values and solve for k.12 (ii)What is the effect of temperature on rate of reaction ?Temperature Dependence of the Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst affect the rate of reaction. Mathematical representation of rate of a reaction is given by rate law : x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of x + y gives the overall order of a reaction. When a sequence of elementary reactions gives us the products, the reactions are called complex reactions. Molecularity and order of an elementary reaction are same. Zero order reactions are relatively uncommon but they occur under special conditions. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.12 (b)For a reaction A + B Product, the rate law is given by, Rate = . What is the order of the reaction ?Factors Influencing Rate of a Reaction
- The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a general reaction aA + bB C with no intermediate steps in its reaction mechanism, meaning that it is an elementary reaction, the rate law is given by , where [A] and [B] express the concentrations of A and B in moles per litre. Exponents x and y vary for each reaction and are determined experimentally. The value of k varies with conditions that affect reaction rate, such as temperature, pressure, surface area, etc. The sum of these exponents is known as overall reaction order. A zero order reaction has a constant rate that is independent of the concentration of the reactants. A first order reaction depends on the concentration of only one reactant. A reaction is said to be second order when the overall order is two. Once we have determined the order of the reaction, we can go back and plug in one set of our initial values and solve for k.12 (iii)What is meant by rate of a reaction ?Rate of a Chemical Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst affect the rate of reaction. Mathematical representation of rate of a reaction is given by rate law : x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of x + y gives the overall order of a reaction. When a sequence of elementary reactions gives us the products, the reactions are called complex reactions. Molecularity and order of an elementary reaction are same. Zero order reactions are relatively uncommon but they occur under special conditions. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.12 (c)How order and molecularity are different for complex reactions ?Factors Influencing Rate of a Reaction
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst affect the rate of reaction. Mathematical representation of rate of a reaction is given by rate law : x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of x + y gives the overall order of a reaction. When a sequence of elementary reactions gives us the products, the reactions are called complex reactions. Molecularity and order of an elementary reaction are same. Zero order reactions are relatively uncommon but they occur under special conditions. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.12 (d)A first order reaction has a rate constant . How long will 6g of this reactant take to reduce to 2g ?Integrated Rate Equations
- The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a general reaction aA + bB C with no intermediate steps in its reaction mechanism, meaning that it is an elementary reaction, the rate law is given by , where [A] and [B] express the concentrations of A and B in moles per litre. Exponents x and y vary for each reaction and are determined experimentally. The value of k varies with conditions that affect reaction rate, such as temperature, pressure, surface area, etc. The sum of these exponents is known as overall reaction order. A zero order reaction has a constant rate that is independent of the concentration of the reactants. A first order reaction depends on the concentration of only one reactant. A reaction is said to be second order when the overall order is two. Once we have determined the order of the reaction, we can go back and plug in one set of our initial values and solve for k.12 (iv) (a)A first order reaction takes minutes for 50% completion. Calculate the time required for 30% completion of this reaction. (log 10 = 1, log 7 = )Integrated Rate Equations
- The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a general reaction aA + bB C with no intermediate steps in its reaction mechanism, meaning that it is an elementary reaction, the rate law is given by , where [A] and [B] express the concentrations of A and B in moles per litre. Exponents x and y vary for each reaction and are determined experimentally. The value of k varies with conditions that affect reaction rate, such as temperature, pressure, surface area, etc. The sum of these exponents is known as overall reaction order. A zero order reaction has a constant rate that is independent of the concentration of the reactants. A first order reaction depends on the concentration of only one reactant. A reaction is said to be second order when the overall order is two. Once we have determined the order of the reaction, we can go back and plug in one set of our initial values and solve for k.12 (iv) (b)A first order reaction has a rate constant per sec. How long will 5 g of this reactant take to reduce to 3 g ? (log 3 = ; log 5 = )Integrated Rate Equations
- The rate of reaction is concerned with decrease in concentration of reactants or increase in the concentration of products per unit time. It can be expressed as instantaneous rate at a particular instant of time and average rate over a large interval of time. A number of factors such as temperature, concentration of reactants, catalyst affect the rate of reaction. Mathematical representation of rate of a reaction is given by rate law : x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of x + y gives the overall order of a reaction. When a sequence of elementary reactions gives us the products, the reactions are called complex reactions. Molecularity and order of an elementary reaction are same. Zero order reactions are relatively uncommon but they occur under special conditions. All natural and artificial radioactive decay of unstable nuclei take place by first order kinetics.12 (d) ORThe half life for radioactive decay of is 6930 years. An archaeological artifact containing wood had only 75% of the found in a living tree. Find the age of the sample. [log 4 = 0.6021 log 3 = 0.4771 log 2 = 0.3010 log 10 = 1]Integrated Rate Equations
The 10 board questions to practise first
The questions the board asked again come first, most asked first. Each one says how often and when.
Question 1
Asked 3 times: 2024, 2025*, 2026 (* = numbers or wording changed that year)
24The rate of a particular reaction quadruples when the temperature increases from 300 K to 320 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature. (Given : log 4 = , R = )Question 2
Asked 3 times: 2024, 2025, 2026
4Which of the following represents the fraction of molecules with energies equal to or greater than ?Tap an option to check your answer.
Question 3
Asked 3 times: 2023, 2024, 2025
1The role of a catalyst is to change :Tap an option to check your answer.
Question 4
Asked 2 times: 2023, 2026
11For a reaction , the rate of reaction is equal to :Tap an option to check your answer.
Question 5
Asked 2 times: 2023, 2026
Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.16Assertion (A) : Order of reaction is applicable to elementary as well as complex reactions. Reason (R) : For a complex reaction, molecularity has no meaning.Tap an option to check your answer.
Question 6
Asked 2 times: 2024, 2026
7Half-life of a first order reaction is 1386 s. The value of rate constant is :Tap an option to check your answer.
Question 7
Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)
22For the first order thermal decomposition reaction, following data was obtained :Calculate rate constant. [Given : log 3 = 0.48]S. No. Time(s) Total Pressure (atm) 1 0 0.30 2 30 0.50 Question 8
Asked 2 times: 2025, 2026
11The activation energy of a reaction can be determined from the slope of which of the following curves ?Tap an option to check your answer.
Question 9
Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)
24The rate of the chemical reaction doubles when the temperature is raised from 298 K to 308 K. Calculate activation energy for this reaction assuming that it does not change with temperature. (Given : R = J , log 2 = )Question 10
Asked 2 times: 2023, 2025
3The number of molecules that react with each other in an elementary reaction is a measure of the :Tap an option to check your answer.