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Heat and Thermodynamics by Anandamoy Manna

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Solved Problems

Q1. Calculate the root mean square (RMS) velocity of an oxygen molecule at 0°C given the gram molecular mass of the gas is 32 gm and the molar gas constant R is 8.32 × 107 ergs per mole per degree. At what temperature will the RMS velocity of the gas have the same magnitude as the velocity of sound in air, that is, 332 metres per sec?

 

Ans. The RMS velocity

 

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Let the required temperature be T K, then

 

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Q2. At what temperature will the average speed of hydrogen molecules be the same as that of nitrogen molecules kept at 35°C? ...

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