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Question

1 mole of a gas with γ=75 is mixed with 1 mole of gas with γ=53, the value of γ of the resulting mixture of.

A
75
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B
25
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C
32
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D
127
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Solution

The correct option is C 32
Ymis=n1Cρ1+n2Cρ2n1Cγ1+n2Cγ2
Cρ1=52R then its Cv1=32R
Because CρCv=R
for diatomic gas Cρ2=7R2 then Cv2=52R
Ymis=n1×52R+n2×72Rn1×32R+n2×52R
Here n1=n2=1
Ymis=32

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