What is the effect of humidity on sound waves | vedclass

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$, where $\gamma$ is the adiabatic index, $P$ is the pressure

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Speed of sound waves is more.

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$, where $\gamma$ is the adiabatic index, $P$ is the pressure, and $\rho$ is the density of the gas.When humidity increases, water vapor (which has a lower molar mass, $18 \ g/mol$) replaces dry air (which has a higher average molar mass, approximately $29 \ g/mol$).This replacement decreases the overall density $\rho$ of the air mixture.Since the speed of sound $v$ is inversely proportional to the square root of the density $(v \propto \frac{1}{\sqrt{\rho}})$, a decrease in density leads to an increase in the speed of sound.Therefore, the speed of sound waves increases as humidity increases.

What is the effect of humidity on sound waves when humidity increases?

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