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Q.

A gas mixture contain one mole O₂ gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

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a

2

b

1.5

c

2.5

d

4

answer is B.

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Detailed Solution

$\begin{array}{l} <γ_{mix}> = \frac{{<C_{p}>}_{mix}}{{<C_{v}>}_{mix}} \\ = \frac{n_{1} {cp}_{1} + n_{2} {cp}_{2}}{n_{1} {cv}_{1} + n_{2} {cv}_{2}} = \frac{1 \times \frac{7}{2} R + 1 \times \frac{5}{2} R}{1 \times \frac{5}{2} R + 1 \times \frac{3}{2} R} = \frac{12}{8} = 1 .5 \end{array}$

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A gas mixture contain one mole O2 gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.