Q. At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at $100℃$

A) $- 148℃$
B) $- 212.5℃$
C) $- 317.5℃$
D) $- 249.7℃$
Explanation

(d) Speed of sound in gases is $v = \sqrt{\frac{\gamma RT}{M}} \Rightarrow T \propto M$
(Because $v,\ \gamma$-constant). Hence $\frac{T_{H_{2}}}{T_{O_{2}}} = \frac{M_{H_{2}}}{M_{O_{2}}}$
$\Rightarrow \frac{T_{H_{2}}}{(273 + 100)} = \frac{2}{32} \Rightarrow T_{H_{2}} = 23.2K = - 249.7℃$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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