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MHT-CET 2023 (2 May Shift 2), Paper II, Physics & Chemistry question paper

100 questions · 100 marks · 90 minutes · +1 per correct answer, no negative marking

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Physics

50 questions

  1. 1
    A ferromagnetic material is heated above its curie temperature. The correct statement from the following is that

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  2. 2
    The number of photoelectrons emitted for light of frequency vv (higher than the threshold frequency v0v_0) is proportional to

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  3. 3
    The amount of work done in increasing the voltage across the plates of a capacitor from 5 V to 10 V is 'W'. The work done in increasing it from 10 V to 15 V will be (nearly)

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  4. 4
    Liquid drops are falling slowly one by one from a vertical glass tube. The relation between the weight of a drop 'w', the surface tension 'T' and the radius 'r' of the bore of the tube is (Angle of contact is zero)

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  5. 5
    A solid sphere of mass 'm', radius 'R', having moment of inertia about an axis passing through centre of mass as 'I' is recast into a disc of thickness 't' whose moment of inertia about an axis passing through the rim (edge) and perpendicular to plane remains 'I'. Then the radius of disc is

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  6. 6
    Rate of flow of heat through a cylindrical rod is 'H1_1'. The temperature at the ends of the rod are 'T1_1' and 'T2_2'. If all the dimensions of the rod become double and the temperature difference remains the same, the rate of flow of heat becomes 'H2_2'. Then

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  7. 7
    A ball rises to the surface at a constant velocity in a liquid whose density is 4 times greater than that of the material of the ball. The ratio of the force of friction acting on the rising ball and its weight is

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  8. 8
    An air-cored coil has self-inductance of 0.1 H. A soft iron core of relative permeability 1000 is introduced and the number of turns is reduced to 110\frac{1}{10}th. The value of self-inductance is now

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  9. 9
    L=2 H, C=5 mFL = 2\,\text{H},\, C = 5\,\text{mF} and R=12 ΩR = 12\,\Omega are connected in series to an a.c. generator of frequency 50 Hz. Then

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  10. 10
    An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission is (m = mass of electron, R = Rydberg's constant, h = Planck's constant)

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  11. 11
    A diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light, then

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  12. 12
    The magnetic energy in an inductor changes from maximum value to minimum value in 5 ms. When connected to an a.c. source, the frequency of the source is

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  13. 13
    Which of the following statements is correct?

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  14. 14
    The potential barrier in p-n junction diode is due to

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  15. 15
    An inclined plane makes an angle of 30∘30^\circ with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration (g=g = acceleration due to gravity, sin⁡30∘=0.5\sin 30^\circ = 0.5)

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  16. 16
    A fixed mass of gas at constant pressure occupies a volume 'V'. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecules is doubled. The new volume will be

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  17. 17
    When a cell of E.M.F. 'E1_1' is connected to a potentiometer wire, the balancing length is l1l_1. Another cell of E.M.F. 'E2_2' (E1>E2E_1 > E_2) is connected so that the two cells oppose each other, then the balancing length is l2l_2. The ratio E1:E2E_1 : E_2 is

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  18. 18
    The logic gate combination circuit shown in the figure performs the logic function of

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  19. 19
    In an isobaric process

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  20. 20
    A concave mirror of focal length 'f' produces an image 'n' times the size of the object. If the image is real, then the distance of the object from the mirror is

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  21. 21
    A drum of radius 'R' full of liquid of density 'd' is rotated at angular velocity 'ω\omega' rad/s. The increase in pressure at the centre of the drum will be

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  22. 22
    In a vibrating string with fixed ends the waves are of type

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  23. 23
    The focal length of combination of lenses formed with lenses having power of +2.50 D and -3.75 D will be

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  24. 24
    The current flowing in a coil is 3 A and the power consumed is 108 W. If the a.c. source is of 120 V, 50 Hz, the resistance in the circuit is

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  25. 25
    In the following circuit, the current flowing through the zener diode is

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  26. 26
    The mass of the lift is 200 kg. When it ascends with an acceleration of 4 m/s24\,\text{m/s}^2, the tension in the cable supporting the lift will be [Given: g=10 m/s2g = 10\,\text{m/s}^2]

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  27. 27
    The average translational kinetic energy of nitrogen (molar mass 28) molecules at a particular temperature is 0.042 eV. The translational kinetic energy of oxygen molecules (molar mass 32) in eV at double the temperature is

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  28. 28
    A spring has a certain mass suspended from it and its period of vertical oscillations is T1T_1. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T2T_2. The ratio T2/T1T_2/T_1 is

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  29. 29
    The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9:19:1. The intensities of the light sources used are in the ratio

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  30. 30
    The coil and magnet are moved in the same direction with the same speed (V). The induced e.m.f. is

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  31. 31
    A driver applies the brakes on seeing the red traffic signal 400 m ahead. At the time of applying brakes, the vehicle was moving with 15 m/s15\,\text{m/s} and retarding at 0.3 m/s20.3\,\text{m/s}^2. The distance covered by the vehicle from the traffic light one minute after application of brakes is

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  32. 32
    The driver of a car travelling with a speed 'V1V_1' m/s towards a wall sounds a siren of frequency 'n' Hz. If the velocity of sound in air is 'V' m/s, then the frequency of the sound reflected from the wall and heard by the driver in Hz is

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  33. 33
    A stretched string is fixed at both ends. It is made to vibrate so that the total number of nodes formed in it is 'x'. The length of the string in terms of the wavelength of waves formed in it is (λ=\lambda = wavelength)

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  34. 34
    Three long, straight parallel wires carrying currents are arranged as shown. The wire C which carries a current of 5.0 A is so placed that it experiences no force. The distance of wire C from wire D is

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  35. 35
    Which of the following statements about the Bohr model of the hydrogen atom is false?

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  36. 36
    Two points separated by a distance of 0.1 mm can just be seen in a microscope when light of wavelength 6000 Å is used. If the light of wavelength 4800 Å is used, the limit of resolution will become

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  37. 37
    In the following circuit, the current I3I_3 is

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  38. 38
    The first operation involved in a Carnot cycle is

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  39. 39
    The gravitational potential energy required to raise a satellite of mass 'm' to height 'h' above the earth's surface is 'E1_1'. Let the energy required to put this satellite into the orbit at the same height be 'E2_2'. If M and R are the mass and radius of the earth respectively, then E1:E2E_1:E_2 is

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  40. 40
    The core used in transformers and other electromagnetic devices is laminated to

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  41. 41
    The temperature at which r.m.s. velocity of hydrogen molecules is 4.5 times that of an oxygen molecule at 47∘C47^\circ\text{C} is (Molecular weight of hydrogen and oxygen molecules are 2 and 32 respectively)

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  42. 42
    A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of vibration of wire is 'n1n_1'. When the bob is completely immersed in water, the frequency of vibration of wire becomes 'n2n_2'. The relative density of the metal of the bob is

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  43. 43
    For a body performing simple harmonic motion, its potential energy is ExE_x at displacement xx and EyE_y at displacement yy from mean position. The potential energy E0E_0 at displacement (x+y)(x+y) is

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  44. 44
    Charge on a parallel plate capacitor of capacity C is Q. The electric field intensity between its two plates separated by a distance of t is

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  45. 45
    Four point charges each +q+q are placed on the circumference of a circle of diameter 2d2d in such a way that they form a square. The potential at the centre is proportional to

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  46. 46
    A meter scale is supported on a wedge at its centre of gravity. A body of weight 'w' is suspended from the 20 cm mark and another weight of 25 gram is suspended from 74 cm mark and balances it. Neglecting the weight of the meter scale, the weight of the body is

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  47. 47
    The stopping potential for a photoelectric emission process is 10 V. The maximum kinetic energy of the electrons ejected in the process is [Charge on electron e=1.6×10−19 Ce = 1.6 \times 10^{-19}\,\text{C}]

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  48. 48
    Cyclotron is used to

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  49. 49
    The displacement of a particle performing S.H.M. is given by Y=Acos⁡[π(t+ϕ)]Y = A\cos[\pi(t+\phi)]. If at t=0t=0, the displacement is y=2 cmy = 2\,\text{cm} and velocity is 2π cm/s2\pi\,\text{cm/s}, the value of amplitude A in cm is

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  50. 50
    The string of a pendulum of length 'L' is displaced through 90∘90^\circ from the vertical and released. Then the maximum strength of the string in order to withstand the tension, as the pendulum passes through the mean position is (m=m = mass of pendulum, g=g = acceleration due to gravity)

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Chemistry

50 questions

  1. 51
    Which of the following orbitals have the same value of (n+l)(n+l) as that of 3d orbital?

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  2. 52
    What is the number of moles of sulfur atoms present in n mole molecules of mustard gas?

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  3. 53
    Which of the following is a tricarboxylic acid?

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  4. 54
    What is the value of slope if log⁡10K\log_{10} K (y-axis) is plotted versus 1/T1/T (x-axis) for the Arrhenius equation?

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  5. 55
    Identify a compound having the highest thermal stability.

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  6. 56
    Which among the following has the highest basic strength?

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  7. 57
    Identify the nitrogen atom of purine base that bonds with 1′1' carbon of ribose to form ribonucleoside.

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  8. 58
    The resistance of a conductivity cell of 0.1 M KCl solution is 120 ohm and conductivity is 1.64×10−4 S cm−11.64 \times 10^{-4}\,\text{S cm}^{-1}. What is the value of cell constant?

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  9. 59
    What is the percentage of p-bromoanisole formed in the bromination of anisole with bromine in acetic acid?

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  10. 60
    Which of the following compounds contains chlorine in +5+5 oxidation state?

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  11. 61
    Which from the following n mole molecules of carbohydrate contains 2n2n mole molecules of galactose, nn moles of glucose and nn moles of fructose in it?

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  12. 62
    Calculate [H3O+][\text{H}_3\text{O}^+] of a monobasic acid if it is 0.04% dissociated in 0.05 M solution.

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  13. 63
    Identify an aromatic, mixed, 3∘3^\circ amine among the following compounds.

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  14. 64
    Which of the following changes occurs during the discharging of a lead accumulator?

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  15. 65
    Identify false statement from following.

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  16. 66
    Which from following is a use of polyester fibres?

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  17. 67
    Calculate the solubility product of sparingly soluble salt BA at 300 K if its solubility is 9.1×10−3 mol dm−39.1 \times 10^{-3}\,\text{mol dm}^{-3} at same temperature.

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  18. 68
    Which of the following is a pair of dihydric phenols?

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  19. 69
    Which compound is used in medicine as barium meal for intestinal x-ray?

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  20. 70
    If 100 L gas is enclosed in a cylinder, absorbs 302.6 J of heat and expands to 200 L against constant external pressure of 2 atm. Calculate internal energy change of the gas.

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  21. 71
    What is the molar mass of third member of homologous series if the molar mass of first member is 46 g?

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  22. 72
    Identify chiral molecule from following.

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  23. 73
    Which from following solids exhibits isotropic properties?

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  24. 74
    Which from following molecules is tetrahedral?

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  25. 75
    Which of the following equations is true for 8.8×10−2 kg8.8 \times 10^{-2}\,\text{kg} of carbon dioxide gas?

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  26. 76
    Identify thermosetting polymer from following.

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  27. 77
    What is the IUPAC name of the following compound?

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  28. 78
    Which of the following is true for the value of ΔH−ΔU\Delta H - \Delta U at constant volume?

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  29. 79
    Which from following nanomaterials has two dimensions less than 100 nm?

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  30. 80
    What is IUPAC name of the following compound?

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  31. 81
    Calculate the radius of an atom of metal if it forms simple cubic unit cell with edge length 380 pm.

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  32. 82
    Identify dispersed phase and dispersion medium in cheese.
    Dispersed phaseDispersion medium
    1liquidsolid
    2liquidliquid
    3solidliquid
    4solidsolid

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  33. 83
    How many moles of carbon atoms are present in 3.6 kg of carbon?

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  34. 84
    Calculate enthalpy change for following reaction.
    H2C=CH2(g)+H2(g)⟶H3C−CH3(g)\text{H}_2\text{C}=\text{CH}_{2(g)} + \text{H}_{2(g)} \longrightarrow \text{H}_3\text{C}-\text{CH}_{3(g)}
    [The bond energy of C-H\text{C-H}, C-C\text{C-C}, C=C\text{C=C} and H-H\text{H-H} is 414, 347, 615 and 435 kJ respectively]

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  35. 85
    Identify the product B in the following reaction. Ethyl phenyl ketone →H2N-NH2\xrightarrow{\text{H}_2\text{N-NH}_2} A →ΔKOH, HO(CH2)2OH\xrightarrow[\Delta]{\text{KOH},\ \text{HO(CH}_2)_2\text{OH}} B

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  36. 86
    Which from following is NOT a lanthanoid element?

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  37. 87
    For the reaction, A+3B⟶2C\text{A} + 3\text{B} \longrightarrow 2\text{C} rate of consumption of A is 1.4 mol dm−3 s−11.4\,\text{mol dm}^{-3}\,\text{s}^{-1}. Calculate rate of formation of C.

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  38. 88
    Identify the major product obtained in the following reaction. Chlorobenzene →Cl2Anhydrous FeCl3\underset{Anhydrous\ FeCl_{3}}{\overset{Cl_{2}}{\rightarrow}} major product

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  39. 89
    What is EAN of Cu in [Cu(NH3)4]2+[\text{Cu(NH}_3)_4]^{2+}?

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  40. 90
    Calculate the number of unit cells in 10.8 g metal (ρa3=7.2×10−22 g)(\rho a^3 = 7.2 \times 10^{-22}\,\text{g}).

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  41. 91
    Calculate van't Hoff factor of 0.2 m aqueous solution of an electrolyte if it freezes at −0.7 K-0.7\,\text{K}. Kf=1.86 K kg mol−1K_f = 1.86\,\text{K kg mol}^{-1}

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  42. 92
    What is the momentum of a microscopic particle having de Broglie's wavelength 6.0 A˚6.0\,\text{Å}? (h=6.63×10−34 Jsh = 6.63 \times 10^{-34}\,\text{Js})

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  43. 93
    Which from the following species acts as a base according to the Bronsted-Lowry theory? (For the reaction HCl+NH3⇌NH4++Cl−\text{HCl} + \text{NH}_3 \rightleftharpoons \text{NH}_4^+ + \text{Cl}^-)

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  44. 94
    Which of the following reactions represents Clemmensen reduction?

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  45. 95
    Which catalyst is used in the Haber's process for manufacture of ammonia?

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  46. 96
    In a first order reaction, the concentration of reactant drops from 0.8 mol L−10.8\,\text{mol L}^{-1} to 0.4 mol L−10.4\,\text{mol L}^{-1} in 15 minutes. What is the time required to drop from 0.1 mol L−10.1\,\text{mol L}^{-1} to 0.025 mol L−10.025\,\text{mol L}^{-1}?

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  47. 97
    Calculate the quantity of electricity required to liberate 0.1 mole of chlorine gas during electrolysis of molten sodium chloride.

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  48. 98
    What is the IUPAC name of (CH3)4C\text{(CH}_3)_4\text{C}?

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  49. 99
    Find the total number of moles of donor atoms present in one mole of trioxalatocobaltate(III) ion.

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  50. 100
    Calculate the molar mass of a non-volatile solute when 5 g of it is dissolved in 50 g solvent, boils at 119.6∘C119.6^\circ\text{C}. (Kb=3.2 K kg mol−1K_b = 3.2\,\text{K kg mol}^{-1}, boiling point of pure solvent =118∘C= 118^\circ\text{C})

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