1.

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

Answer»

Effect of density:

The velocity of sound in a gas is inversely proportional to the square root of the density of the gas. Hence, the velocity decreases as the density of the gas increases.

v ∝ \(\sqrt{\frac{1}{d}}\)

Effect of temperature: 

(i) The velocity of sound in a gas is directly proportional to the square root of its temperature. 

(ii) The velocity of sound in gas increases with the increase in temperature, v ∝ √T 

Velocity at temperature T is given by the following equation:

vT = (v0 + 0.61 T) ms-1

Here, v0 is the velocity of sound in the gas at 0° C. For air, 

v0 = 331 ms-1

Hence, the velocity of sound changes by 0.61 ms-1 when the temperature changes by one – degree celsius. 

Effect of relative humidity: When humidity increases, the speed of sound increases. That is why we can hear sound from long distances clearly during rainy seasons.



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