Question

Use the formula v = √γp/ρ to explain, why the speed of sound in air

(a) is independent of pressure

(b) increase with temperature

Answer 1

Given, √γp/ρ

(a) Let V be the volume of 1 mole of air, then

So at constant temperature v is constant as γ, R and M are constant.

(b) From equation (i) we know that V ∝ √T,  so with the increase in temperature velocity of sound increases.