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Question

For an ideal gas (CPCv=γ); of molar mass M, its specific heat capacity at constant volume is:


A

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C

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Solution

The correct option is not given in the solution

Given thatCpCv=R and CpCv=γ

Let's calculate the specific heat capacity

CpCv=γ

CpCv=R(1)

Cv=Cpγ(2)

Put(2)in(1)

CpCpγ=R

γCpCpγ=R

C_p(γ1)γ=R

Cp=γRγ1

Cp=γCv=γRγ1Cv=Rγ1

We also have an equation:

(CpCv)M=R

CpCv=RM

or we can simply written the specific heat capacity at constant volume as:

Cv=RM(γ1)




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