First slide

Thermodynamic processes

Question

A monoatomic gas $(γ = 5 / 3)$ is suddenly compressed to $\frac{1}{8}$ of its original volume adiabatically, then the pressure of the gas will change to

Moderate

A

$\frac{24}{5}$
B

$8$
C

$\frac{40}{3}$
D

32 times its initial pressure

Solution

${PV}^{γ} = constant \Rightarrow \frac{P_{2}}{P_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ} \Rightarrow P_{2} = (8)^{5 / 3} P_{1} = 32 P_{1}$

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