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Two moles of oxygen are mixed with eight...

Two moles of oxygen are mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is

A

`1.3R`

B

`1.4R`

C

`1.7R`

D

`1.9R`

Text Solution

Verified by Experts

The correct Answer is:
C
For mixture of gases, let specific heat be `C_(V)`.
`therefore C_(V)=(n_(1)(C_(V))_(1)+n_(2)(C_(V))_(2))/(n_(1)+n_(2))`
Here, `(C_(V))_(1)=(5R)/(2),(C_(V))_(2)=(3R)/(2),n_(1)=2,n_(2)=8`
`therefore C_(V)=(2xx(5R)/(2)+8xx(3R)/(2))/(2+8)=(17R)/(10)=1.7R`
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