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Consider a mixture of n moles of helium ...

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its `C_(p)//C_(v)` value will be:

A

`23/15`

B

`40/27`

C

`67/45`

D

`19/13`

Text Solution

Verified by Experts

The correct Answer is:
D

`gamma_("mix") = (n_(1)c_(p1) + n_(2)c_(p_(2)))/(n_(1)c_(v_(1)) + n_(2)c_(v_(2)))`
`= (n(5/2R) + 2n(7/2R))/(n(3/2R) + 2n(5/2 R))`
` = (5 + 14)/(3+ 10) = 19/13`
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