Q11 of 65 Page 77

Two ideal gases have the same value of CP/CV = 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 Cp1 and CV1 is the molar heat capacity at constant pressure and constant volume


Similarly, for the second ideal gas




Where Cp2 and CV2 is the molar heat capacity at constant pressure and constant volume


Given,



i.e


dU1=nCV1dT


dU2=2nCV2Dt


When gas is mixed,





Also,



From (1) and (2)



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