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If one mole of a mono-atomic gas (gamma=...

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

A

1.4

B

1.5

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_(2) - 1)`
`(1 + 1)/(gamma_("mix") - 1) = (1)/((5)/(3) - 1) + (1)/((7)/(5) - 1)`, `gamma_("mix") = 1.50`
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