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At normal temperature and pressur, 4g of...

At normal temperature and pressur, 4g of He occupies a volume of 22.4 litre. Determine the speed of sound in helium. Take 1 atmospheric pressure `=10^(5)N//m^(2)` and `gamma` for helium `=1.67`.

Text Solution

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Density of helium,
`rho = (4g)/( 22.4"Iitre") = (4 xx 10^(-3) kg)/( 22.4 xx 10^(-3) m^(3) ) = (4)/( 22.4)"kg m"^(-3)`
Speed of sound
` v = sqrt((gamma P)/( rho)) = sqrt((1.67 xx 10^(5) xx 22.4)/(4)) = 967"m s"^(-1)`.
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