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

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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.
`vpropsqrt((1)/(d))`
Effect of temperature:
The velocity of sound in a gas is directly proportional to the square root of its temperature.
(ii) The velocity of sound in a gas increases with the increase in temperature `vpropsqrt(T)` Velocity at temperature T is given by the following equation:
`v_(T)=(v_(0)+0.61T)ms^(-1)`
Here `v_(0)` is the velocity of sound in the gas at `0^(@)C`. For air, `v_(0)=331ms^(-1)`. Hence, the velocity of sound changes by `0.61ms^(-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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Knowledge Check

  • Choose the correct pair of factors that are affecting speed of sound in gases.

    A
    Volume and pressure
    B
    Temperature and pressure
    C
    Temperature and density
    D
    Temperature and moisture
  • Choose the correct pair of factors that are affecting speed of sound in gases.

    A
    Volume and pressure
    B
    Temperature and pressure
    C
    Temperature and density
    D
    Temperature and moisture
  • At N.T.P speed of sound wave

    A
    `3 xx 10^(8) m//s`
    B
    `3 xx 10^(-8) m//s`
    C
    340 cm/s
    D
    340 m/s
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