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Question

Physics Question on kinetic theory

One mole of ideal monoatomic gas (γ=5/3)(\gamma = 5/3) is mixed with one mole of diatomic gas (γ=7/5)(\gamma = 7/5). What is γ\gamma for the mixture? γ\gamma Denotes the ratio of specific heat at constant pressure, to that at constant volume.

A

44622

B

23/15

C

35/23

D

44654

Answer

44622

Explanation

Solution

Q=Q1+Q2Q = Q_{1} + Q_{2} n1+n2γm1=n1γ11+n2γ21\frac{n_{1}+n_{2}}{\gamma_{m}-1} = \frac{n_{1}}{\gamma_{1}-1}+\frac{n_{2}}{\gamma _{2}-1} γm=32\gamma_{m} = \frac{3}{2}