The speed of sound in hydrogen at 0°C is 1280 m s–1. The density of hydrogen at STP is 0.089 kg m–3. Calculate the molar heat capacities CP and CV of hydrogen.
Given:
The speed of sound in hydrogen at 0°C is 1280 m s–1.
The density of hydrogen at STP is 0.089 kg m–3.
At STP the pressure P is 1.013×105Pa.
So the speed of sound in hydrogen where is the density of the gas.
So, putting data in, we get,
So, ;