kinetic therory of gaseous questions with solutions

Showing 1–10 of 53 questions

• A/RmediumThermodynamicskinetic therory of gaseous

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  For n moles of an ideal gas, the change in internal energy can be written as ΔU = nCᵥ[$T_{f}$-$T_{i}$] = [nR /(γ-1)][$T_{f}$-$T_{i}$], where γ = Cₚ/Cᵥ.

  Reason

  The relation between the number of degrees of freedom f and γ is γ = 1+2/f.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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  JEE Mains 2026 5 April Morning Shift

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• MCQmediumThermodynamicskinetic therory of gaseous

  A flask contains hydrogen and argon in the mass ratio 2:1 at 30°C. The ratio of average kinetic energy per molecule Kₐᵣ/Kₕ₂ is:

  Options

  • Option A

    2

  • Option B

    39.9

  • Option C

    1

  • Option D

    39.9/2

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  15 April 2023 Morning Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  N moles of a polyatomic gas (f = 6) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of N is :

  Options

  • Option A

    6

  • Option B

    3

  • Option C

    4

  • Option D

    2

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  JEE Mains 2024 29 Jan Evening Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  The total kinetic energy of 1 mole of oxygen at 27°C is : [Use universal gas constant (R)= 8.31 J/mole K]

  Options

  • Option A

    6845.5 J

  • Option B

    5942.0 J

  • Option C

    6232.5 J

  • Option D

    5670.5 J

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  JEE Mains 2024 27 Jan Evening Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-

  Options

  • Option A

    9R/2

  • Option B

    5R/2

  • Option C

    3R/2

  • Option D

    7R/2

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  JEE Mains25 January 2023Shift 2Evening Shift

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• A/RmediumThermodynamicskinetic therory of gaseous

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  If the average kinetic energies of H₂ and O₂ molecules kept in two different containers are equal, then their temperatures are equal.

  Reason

  The rms speeds of H₂ and O₂ molecules are equal when both gases are at the same temperature.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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  JEE Mains 2026 4 April Evening Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  If n is the number density and d is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :

  Options

  • Option A

    1/(2πnd²)

  • Option B

    √2 πnd²

  • Option C

    1/(√2 πnd²)

  • Option D

    1/(√2 π²n²d²)

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  JEE Mains 2024 05 Apr Evening Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  Given below are two statements:

  Statement I: The mean free path of gas molecules is inversely proportional to square of molecular diameter.

  Statement II: Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

  In the light of the above statements, choose the correct answer from the option given below:

  Options

  • Option A

    Statement I is false but Statement II is true.

  • Option B

    Statement I is true but Statement II is false.

  • Option C

    Both Statement I and Statement II are false.

  • Option D

    Both Statement I and Statement II are true.

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  JEE Mains 2024 08 Apr Evening Shift

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• MCQeasyThermodynamicskinetic therory of gaseous

  The r.m.s speed of oxygen molecules at 47°C is equal to that of the hydrogen molecules kept at______°C. (Mass of oxygen molecule/mass of hydrogen molecule=32/2)

  Options

  • Option A

    -235

  • Option B

    -100

  • Option C

    -253

  • Option D

    -20

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• MCQeasyThermodynamicskinetic therory of gaseous

  Two closed vessels of equal volume are connected by a narrow tube. Initially, both contain air at pressure 90 kPa and temperature 400 K. The temperature of one vessel is maintained at 400 K, while the temperature of the other is raised to 500 K. After equilibrium is established, both vessels have the same final pressure. What is this pressure?

  Options

  • Option A

    100 kPa

  • Option B

    120 kPa

  • Option C

    90 kPa

  • Option D

    105 kPa

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