Out of hot moist air and dry cold air,in whic | 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,a

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Hot moist air

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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 medium.For hot moist air,the temperature is higher,which decreases the density $\rho$ of the air compared to cold dry air.Additionally,the presence of water vapor (moisture) further decreases the effective density of the air because the molar mass of water vapor $(18 \ g/mol)$ is less than that of dry air (approximately $29 \ g/mol$).Since the speed of sound $v$ is inversely proportional to the square root of density $(v \propto \frac{1}{\sqrt{\rho}})$,a lower density leads to a higher speed of sound.Therefore,sound travels faster in hot moist air than in dry cold air.

Out of hot moist air and dry cold air,in which does sound travel faster?

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