A mixture contains 1 mole of helium `(c_p = 2.5 R, C_v 1.5 R. )` and 1mole of hydrogen `(C_p = 3.5 R, C_v = 2.5 R, )` . Calculate the values of `C_p , C_v and gamma` for the mixture.

Explanation

`Cp'=2.5R`,`Cp''=3.5R`
`Cv'=1.5RCv''=2.5R`
`n_1 = n_2 =1 mol.`,
`[n_1+n_2]CvdT=n_1C'vdT+n_2C'vdT`
implies `Cv=(n_1C'v+n_2C''v)/(n_1+n_2)`
`=(1.5R+2.5R)/2=2R`
`C_p =C_v+R =2R +R =3R`
`gamma=(Cp)/(Cv)=(3R)/(2R)=1.5`