Answer to Question #180789 in Physics for Praise

Question

At what Temperature is the speed of sound in methane, CH4 equal to the speed of the sound in air at room temperature?

Answer 1

Speed of sound in air at room temperature is 346 m/s. For methane, it can be expressed as

$$c=\sqrt{\frac{\gamma RT}{M}},\\\space\\ T=\frac{c^2M}{\gamma R}=\frac{346^2·0.016}{1.313·8.314}=175\text{ K}.$$