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If one mole of a monatomic gas (gamma=5/...

If one mole of a monatomic gas `(gamma=5/3)` is mixed with one mole of a diatomic gas `(gamma=7/5),` the value of gamma for mixture is

A

`1.40`

B

`1.50`

C

`1.53`

D

`3.07`

Text Solution

Verified by Experts

The correct Answer is:
B
`(mu_("mix"))/(gamma_("mix")-1)=(mu_(1))/(gamma_(1)-1)+(mu_(2))/(gamma_(2)-1)," "(mu_(1)+mu_(2))/(gamma_("mix")-1)=(mu_(1))/(gamma_(1)-1)+(mu_(2))/(gamma_(1)-1)`
`(1+1)/(gamma_("mix")-1)=(1)/((5)/(3)-1)+(1)/((7)/(5)-1)," "gamma_("mix")=1.50`
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