Question

What is the principal reason forvhigh velocity of sound in summer than winter?

Answer 1

Consider the atmospheric air to be an ideal gas. Kinetic theory says that the average kinetic energy of a gas is directly proportional to the temperature, i.e.,

$\dfrac{1}{2}mv^2\propto T$

Since the mass is unchanged, then we get,

$v\propto T^{\frac {1}{2}}$

Hence the velocity of sound in air or a gas is directly proportional to the square root of its temperature.

The temperature is greater in summer than that in winter. Thus the velocity increases slightly in summer.