## Book: HC Verma - Concepts of Physics Part 2

### Chapter: 27. Specific Heat Capacities of Gases

#### Subject: Physics - Class 12th

##### Q. No. 11 of Exercises

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11
##### 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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