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Question: Speed of sound wave in a gas is v<sub>1</sub> and rms speed of molecules of the gas at the same temp...

Speed of sound wave in a gas is v1 and rms speed of molecules of the gas at the same temperature is v2. Then –

A

v1 = v2

B

v1< v2

C

v1> v2

D

v1£ v2

Answer

v1< v2

Explanation

Solution

V1 = γRTMw\sqrt{\frac{\gamma RT}{M_{w}}}, V2 = 3RTMw\sqrt{\frac{3RT}{M_{w}}}

So V2>V1\begin{matrix} V_{2} > V_{1} \end{matrix} As lmax = 1.67