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Question: Two moles of oxygen is mixed with eight moles helium. The effective specific heat of the mixture at ...

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

A

1.3 R

B

1.4 R

C

1.7 R

D

1.9 R

Answer

1.7 R

Explanation

Solution

: molar specific heat of mixture at constant volume is

(CV)mixture =n1CV1+n2CV2n1+n2\left( C _ { V } \right) _ { \text {mixture } } = \frac { n _ { 1 } C _ { V _ { 1 } } + n _ { 2 } C _ { V _ { 2 } } } { n _ { 1 } + n _ { 2 } } =2×5R2+8×3R22+8=1.7R= \frac { 2 \times \frac { 5 R } { 2 } + 8 \times \frac { 3 R } { 2 } } { 2 + 8 } = 1.7 R