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

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

JIPMERJIPMER 2010Thermodynamics

Solution:

Molar specific heat of mixture at constant volume is
$\left(C_{V}\right)_{mixture }= \frac{n_{1}C_{V_1}+n_{2}C_{V_2}}{n_{1}+n_{2}}$
$ = \frac{2\times\frac{5R}{2}+8\times\frac{3R}{2}}{2+8}=1.7 R$