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4.0 g of helium occupies 22400 cm3 at STP. The specific heat capacity of helium at constant pressure is 5.0 cal K–1 mol–1. Calculate the speed of sound in helium at STP.
Given:
4.0 g of helium occupies 22400 cm3 at STP.
The specific heat capacity of helium at constant pressure is 5.0 cal K–1 mol–1 = 21J K–1 mol–1
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At STP the pressure P is 1.013×105Pa.
The velocity of sound will be where P is the pressure of the gas, V is the volume and M is the mass of the gas.
Thus putting the values given, we get,
The speed of sound in helium is m/s.