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Question

Two ideal gas have the same value of CP/CV=γ. What will be the value of this ratio for a mixture of the two such gases in the ratio 1 : 2?

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Solution

Let the heat capacities be CP and CV for gas 1 and nCP and nCV for gas 2. Thus for the mixture, heat capacities will be

CV=CV+2nCV3=1+2n3CV

Also, CP=CP+2nCP3=1+2n3CP

Thus, for the mixture,

γ=CPCV=CPCV=γ

Answer is γ

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