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1 mole of a gas with gamma=7//5 is mixed...

1 mole of a gas with `gamma=7//5` is mixed with 1 mole of a gas with `gamma=5//3`, then the value of `gamma` for the resulting mixture is

A

`7/5`

B

`2/5`

C

`24/16`

D

`12/7`

Text Solution

Verified by Experts

The correct Answer is:
C
Using the relation, `(n_1+n_2)/(gamma-1)=(n_1)/(gamma-1)+(n_2)/(gamma-1)`
`(1+1)/(gamma-1)=(1)/((5"/"3-1))+(1)/((1)/((7"/"5-1))` or `(2)/(gamma-1)=(3)/(2)+(5)/(2)=4 implies gamma=((3)/(2))=(24)/(26)`.
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