A mixture contains 1 mole of helium (C_{P} = 2.5 R, C_{V} = 1.5R) and 1 mole of hydrogen (C_{P} = 3.5 R, C_{V} = 2.5 R). Calculate the values of C_{P}, C_{V} and γ for the mixture.

Given,

C_{P1} = 2.5 R, C_{V1}= 1.5R for helium

C_{P2} = 3.5 R, C_{V2}= 2.5 R for hydrogen

n1=n2=1

We know dU =nC_{v}dT

Where dU is the change in internal energy, n is the number of moles, Cv is the molar heat capacity at constant volume and dT is the change in temperature.

For the mixture,

Also,

1