The poisson’s ratio for $O_{2}$ is 1.4. Which are correct for $O_{2}$ ?

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$C_{p m} = \frac{R γ}{γ - 1}$

Sp. heat capacity $c_{v} = 0.156 c a l$

$C_{v m} = \frac{R}{(γ - 1)}$

$C_{v m} = 5 c a l$

answer is A, B, C, D.

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Detailed Solution

$\frac{C_{p}}{C_{v}} = 1.4 = γ$

$C_{p} - C_{v} = R$

$∴ γ C_{v} - C_{v} = R$

$∴ C_{v} = \frac{R}{γ - 1}$ and similarly $C_{p} - \frac{C_{p}}{γ} = R$

$∴ C_{v} = \frac{2}{0.4} = 5 c a l, ∴ C_{p} \frac{γ . R}{(γ - 1)}$

Also $C_{v} = \frac{2}{0.4 \times 32} = 0.156 c a l$

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