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Kinetic Theory of Gases

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 9 times: 4 May 2023 S1, 10 May 2023 S2, 11 May 2024 S2, 12 May 2024 S1, 19 Apr 2025 S1, 11 Apr 2026 S2, 13 Apr 2026 S2, 12 May 2026 S2, 19 May 2026 S1. This one: 19 May 2026 S1 See all 9 of this type

    117
    The molar specific heat at constant pressure of an ideal gas is 72R\dfrac{7}{2}R. The gas is made up of molecules which are

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  2. Question 2

    This type asked 8 times: 2 May 2023 S2, 19 Apr 2025 S2, 22 Apr 2025 S1, 25 Apr 2025 S2, 16 Apr 2026 S1, 19 Apr 2026 S1, 12 May 2026 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 8 of this type

    117
    At what temperature, the kinetic energy of a gas molecule is half of the value at 27∘27^\circC ?

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  3. Question 3

    This type asked 6 times: 16 May 2023 S2, 14 May 2024 S2, 23 Apr 2025 S1, 25 Apr 2025 S1, 12 May 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 6 of this type

    116
    At constant temperature, the volume of a gas is to be decreased by 4%. The pressure must be increased by

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  4. Question 4

    This type asked 6 times: May 2021 S1, 11 May 2023 S2, 16 May 2023 S1, 9 May 2024 S2, 13 Apr 2026 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 6 of this type

    116
    Assuming the expression for the pressure exerted by the gas, it can be shown that pressure is

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  5. Question 5

    This type asked 6 times: 9 May 2023 S1, 9 May 2024 S2, 11 May 2024 S2, 14 May 2024 S1, 21 Apr 2025 S2, 25 Apr 2025 S1. This one: 25 Apr 2025 S1 See all 6 of this type

    15
    The temperature of an ideal gas is increased from 100 K to 400 K . If ' xx ' is the root mean square velocity of its molecules at 100 K , r.m.s. velocity becomes

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  6. Question 6

    Asked 5 times: 4 May 2023 S1*, 11 May 2023 S1, 10 May 2024 S2*, 11 Apr 2026 S2*, 16 Apr 2026 S2 (* = numbers or wording changed that year) See all 5 times it was asked

    116
    A rigid diatomic gas having molar mass m is contained in an insulated container. The container is moving with velocity V. If it is stopped suddenly, the change in temperature is (R - gas constant)

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  7. Question 7

    Asked 5 times: 10 May 2023 S1, 15 May 2023 S2, 10 May 2024 S1, 20 Apr 2025 S1, 15 Apr 2026 S1 See all 5 times it was asked

    117
    The average force applied on the walls of a closed container depends on temperature (T) as (T is the temperature of an ideal gas)

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  8. Question 8

    This type asked 5 times: 2 May 2023 S2, 14 May 2024 S2, 19 Apr 2025 S2, 26 Apr 2025 S1, 17 Apr 2026 S2. This one: 17 Apr 2026 S2 See all 5 of this type

    117
    The temperature at which r.m.s. velocity of hydrogen molecules is 4.5 times that of an oxygen molecule at 47∘47^\circ C is (molecular weight of hydrogen and oxygen are 2 and 32 respectively)

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  9. Question 9

    Asked 4 times: 9 May 2024 S1*, 10 May 2024 S2*, 23 Apr 2025 S1*, 20 Apr 2026 S1 (* = numbers or wording changed that year) See all 4 times it was asked

    116
    Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P2P, V4\dfrac{V}{4}, 2T2T. The ratio of number of molecules of jar B to those of jar A is

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  10. Question 10

    Asked 4 times: 11 May 2023 S2*, 21 Apr 2025 S1*, 26 Apr 2025 S2*, 17 Apr 2026 S2 (* = numbers or wording changed that year) See all 4 times it was asked

    116
    Two cylinders A and B fitted with pistons contain equal amount of an ideal diatomic gas at 303 K. The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 63 K then the rise in temperature of the gas in A is

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