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Two moles on ideal gas with gamma=5/3 is...

Two moles on ideal gas with `gamma=5/3` is mixed with 3 moles of another ideal non reacting gas with `gamma=7/5` .The value of `(C_p)/(C_v)` for the gasous mixture is closer to :

A

`1.36`

B

`1.48`

C

`1.63`

D

`1.42`

Text Solution

Verified by Experts

The correct Answer is:
B
`C_("v, mix") = (n_1 C_(v_1) n_C_(V_2))/(n_1 + n_2) = (2 xx (3R)/2 + 3 xx (5R)/2)/(2 + 3) = (21R)/(10)`
`C_("p, mix") = C_("v, mix") + R = (31R)/(10) :. gamma_("mix") = (C_("p,mix"))/(C_("v,mix")) = 31/21 ~~ 1.48`.
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