First slide

Thermodynamic processes

Question

The pressure and density of a diatomic gas $(γ = 7 / 5)$ change adiabatically from (P, d) to (P', d'). If $\frac{d'}{d} = 32$ , then $\frac{P'}{P}$ should be

Moderate

A

1/128
B

32
C

128
D

None of the above

Solution

Volume of the gas $V = \frac{m}{d}$ and using ${PV}^{γ}$ = constant
We get $\frac{P'}{P} = {(\frac{V}{V'})}^{γ} = {(\frac{d'}{d})}^{γ} = {(32)}^{7 / 5} = 128$

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