CGPET 2019 Solved Paper

According to the question,
1 mole of gas with γ1=

7

5

Mixed with 1 mole of gas with γ2=

5

3

Now, by mixture of non-reactive gases,
Number of gas molecules in mixture is
n=n1+n2=1+1=2[

∵n1=1

and n2=1

]
∴γ=

CP

CV

or

n

γ−1

=

n1

γ1−1

+

n2

γ2−1

Now, putting the values in above equation, we get
or

2

γ−1

=

1

7 5 −1

+

1

5 3 −1

or

2

γ−1

=

5

2

+

3

2

or

2

γ−1

=4
or γ−1=

1

2

or γ=

1

2

+1=

3

2

Then, the value of γ for resulting mixture is

3

2

.