Two ideal gases have the same value of C_{P}/C_{V} = γ. What will be the value of this ratio for a mixture of the two gases in the ratio 1: 2?

We know Cp/Cv=γ, R=Cp-Cv,

where the molar heat capacity C, at constant pressure, is represented by Cp, at constant volume, the molar heat capacity C is represented by Cv and R is the universal gas constant.

Now,

For the first ideal gas,

Where C_{p1} and C_{V1} is the molar heat capacity at constant pressure and constant volume

Similarly, for the second ideal gas

Where C_{p2} and C_{V2} is the molar heat capacity at constant pressure and constant volume

Given,

i.e

dU_{1}=nC_{V1}dT

dU_{2}=2nC_{V2}Dt

When gas is mixed,

Also,

From (1) and (2)

1