A mixture contains 1 mole of helium (CP = 2.5 R, CV = 1.5R) and 1 mole of hydrogen (CP = 3.5 R, CV = 2.5 R). Calculate the values of CP, CV and γ for the mixture.

Given,


CP1 = 2.5 R, CV1= 1.5R for helium


CP2 = 3.5 R, CV2= 2.5 R for hydrogen


n1=n2=1


We know dU =nCvdT


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