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Speed of sound in a gas: dependence on molar mass, gamma and temperature

This type of question, asked 4 times: 6 Apr 2023, 31 Jan 2024, 4 Apr 2025, 23 Jan 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    6 Apr 2023

    98
    The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

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  2. Question 2

    31 Jan 2024

    97
    The speed of sound in oxygen at S.T.P. will be approximately: (Given, R=8.3 JK−1mol−1,γ=1.4R = 8.3\text{ }JK^{- 1}mol^{- 1},\gamma = 1.4 )

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  3. Question 3

    4 Apr 2025

    7
    Consider the sound wave travelling in ideal gases of He,CH4He,CH_{4}, and CO2CO_{2}. All the gases have the same ratio Pρ\frac{P}{\rho}, where PP is the pressure and ρ\rho is the density. The ratio of the speed of sound through the gases vHe:vCH4:vCO2v_{He}:v_{CH_{4}}:v_{CO_{2}} is given by.

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  4. Question 4

    23 Jan 2026 S2

    25
    The velocity of sound in air is doubled when the temperature is raised from 0∘C0^{\circ}C to α∘C\alpha^{\circ}C. The value of α\alpha is ____\_\_\_\_ .