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Question

A gaseous mixture enclosed in a vessel contains 1g mole of a gas A(with γ=5/3) and another gas B (with γ=7/5) at a temperature T. The gases A and B do not react with each other and assumed to be ideal. The number of gram moles of B, if γ for the gaseous mixture is 19/13 is?

A
2
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B
12
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C
16
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D
8
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Solution

The correct option is A 2

Given parameters are:

Here, n1=1

γ1=53

γ2=75

γmean=1913

and n2=?

For two gases, we can wire

n1γ11+n2γ21=(n1+n2)(γmean1)

Substituting values in the above equation, we get,

1531+n2751=(1+n2)(19131)

3×(3+5n2)=13×(1+n2)

n2=2 gram/moles

Option A is correct.


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