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Speed of sound in a gas from its ratio of specific heats, molar mass and temperature

This type of question, asked 4 times: May 2021 S1, 17 Apr 2026 S1, 20 Apr 2026 S1, 20 Apr 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    40
    The speed of sound in a mixture of 1 mole of He and 2 mole of oxygen at 27∘C27^\circ\text{C} is

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  2. Question 2

    17 Apr 2026 S1

    124
    The enclosed air inside a closed box of rigid walls has pressure P1P_1. The density of air inside this box is constant. On heating the gas, the pressure of the enclosed air is increased from P1P_1 to P2P_2. Now it is observed that the sound travels 1.4 times faster than at pressure P1P_1. The ratio P2P_2 by P1P_1 is

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  3. Question 3

    20 Apr 2026 S1

    123
    The ratio of the speed of sound in helium gas to that in nitrogen gas at 295295 K is ( Ratio of specific heats γ\gamma for helium is 53\dfrac{5}{3} and that for nitrogen is 75\dfrac{7}{5}. Molecular weight for helium and nitrogen are 44 and 2828 respectively.)

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  4. Question 4

    20 Apr 2026 S2

    122
    Two monoatomic ideal gases '1' and '2' of molecular masses m1m_1 and m2m_2 respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas '1' to that in gas '2' is

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