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Half-life of a first order reaction from its rate constant, or the rate constant from its half-life

This type of question, asked 12 times: May 2022 S1, 11 May 2023 S1, 10 May 2024 S1, 12 May 2024 S1, 14 May 2024 S1, 21 Apr 2025 S1, 22 Apr 2025 S2, 11 Apr 2026 S2, 13 Apr 2026 S2, 19 Apr 2026 S1, 20 Apr 2026 S1, 12 May 2026 S1. All 12 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    75
    Find the rate constant of first order reaction in seconds having half-life of 2.5 hours.

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  2. Question 2

    11 May 2023 S1

    64
    Rate constant of a reaction 2NO2Cl2(g)⟶2NO2(g)+Cl2(g)2NO_2Cl_2(g) \longrightarrow 2NO_2(g) + Cl_2(g) is 4.76724.7672 minute−1^{-1}. Calculate half life of reaction.

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  3. Question 3

    10 May 2024 S1

    96
    Half life of first order reaction if rate constant is 4.2×10−24.2\times10^{-2} per day is

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  4. Question 4

    12 May 2024 S1

    73
    Calculate the rate constant of first order reaction if half life of reaction is 40 minutes.

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  5. Question 5

    14 May 2024 S1

    80
    Calculate half life of first order reaction if rate constant of reaction is 2.772×10−3 s−12.772\times10^{-3}\,\text{s}^{-1}.

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  6. Question 6

    21 Apr 2025 S1

    64
    Calculate the time in seconds required to reduce the concentration of reactant to half of initial concentration for first order reaction if rate constant is 1.386×10−3 s−11.386 \times 10^{-3}\ \mathrm{s^{-1}}.

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  7. Question 7

    22 Apr 2025 S2

    99
    The half -life values for two different first order reaction A and B are 75 minute and 2.5 hour respectively. What is the rBrA\frac{r_{B}}{r_{A}} ratio of rate constants?

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  8. Question 8

    11 Apr 2026 S2

    28
    Half life period of a first order reaction is 13861386 seconds. The rate constant of the reaction is

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  9. Question 9

    13 Apr 2026 S2

    28
    The half-life of a first-order reaction is 2020 minutes. What is the rate constant (in min−1\mathrm{min^{-1}}) for this reaction?

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  10. Question 10

    19 Apr 2026 S1

    29
    Rate constant of decomposition of hydrogen peroxide is 0.0204 minutes−10.0204\ \mathrm{minutes^{-1}}, calculate half life of reaction.

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  11. Question 11

    20 Apr 2026 S1

    30
    Calculate rate constant of a first order reaction having half life 11 minute 4040 second?

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  12. Question 12

    12 May 2026 S1

    27
    What is the half life of a first order reaction if the value of the rate constant is 3.0×10−2 s−13.0 \times 10^{-2}\ \mathrm{s^{-1}}?

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