Q. Two moles of oxygen is mixed with eight moles of 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) $1.9\ R$
Explanation

(c) Let for mixture of gases, specific heat at constant volume be $C_{V}$
$C_{V} = \frac{n_{1}\left( C_{V} \right)_{1} + n_{2}\left( C_{V} \right)_{2}}{n_{1} + n_{2}}$
where for oxygen; ${C_{V}}_{1} = \frac{5R}{2},\ n_{1} = 2\ mol$
For helium; ${C_{V}}_{2} = \frac{3R}{2},\ n_{2} = 8\ mol$
Therefore, $C_{V} = \frac{\frac{2 \times 5R}{2} + 8 \times \frac{3R}{2}}{2 + 8} = \frac{17R}{10} = 1.7\ R$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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