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Question

A mixture of n1 moles of monoatomic gas and n2 moles of diatomic gas has CpCv=γ=1.5. What should be the ratio of n1:n2?

A
1:1
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B
1:2
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C
2:1
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D
3:2
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Solution

The correct option is C 1:1
If n1 moles of a gas of ratio of specific heat γ1 is mixed with n2 moles of another gas of ratio of specific heat γ2, the ratio of specific heats of the mixture γ is given by,
n1+n2γ1=n1γ11+n2γ21
In the given problem,
γ=32
γ1=53 (mono atomic gas)
γ2=75 (diatomic gas)
n1+n212=n123+n225
2n1+2n2=3n12+5n22
.. n12=n22 or n1:n2=1:1

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