What are the factors that affect the speed of sound in gases?

Explanation

Effect of density:
(i) Velocity of sound in gas is inversely proportional to the square root of density of the gas.
(ii) Hence, the velocity decreases as the density of the gas increases.
`V prop sqrt(1/d)`
Effect of temperature :
(i) Velocity of sound to the square root of its temperature.
(ii) Velocity of sound in a gas increases with increase in temperature. `v prop sqrtT`.
Velocity at temperature T is given by the followin equation.
`V_T = (V_0 + 0.61 T)ms^(-1)`
Here, `V_0` is the velocity of sound changes by `0.61 ms^(-1)`, when temperature changes by each degree celcius.
Effect of relative humidity :
(i) Humidity increases, the speed of sound increases .
(ii) That is why we can hear sound from long distances clearly during rainy seasons.