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The pressure and density of a diatomic gas $(γ = \frac{7}{5})$ change adiabatically from (P, d) to $(P^{1}, d^{1}) .$ If $\frac{d^{1}}{d} = 64$ then $\frac{P^{1}}{P}$ should be

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$\frac{1}{128}$

337.7

None of the above

answer is C.

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Detailed Solution

$\frac{p_{2}}{p_{1}} = {(\frac{d_{2}}{d_{1}})}^{γ} = {(64)}^{7 / 5} = 337.7$

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