Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is

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Solution

Q.
Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is [2024]

1 $\frac{9}{4} R$

2 $\frac{7}{4} R$

3 $\frac{3}{2} R$

4 $\frac{5}{2} R$

Ans.
(1)

$C_{V} = \frac{n_{1} C_{v_{1}} + n_{2} C_{v_{2}}}{n_{1} + n_{2}}$

$= \frac{2 \times \frac{3}{2} R + 6 \times \frac{5}{2} R}{2 + 6}$

$= \frac{9}{4} R$

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