First slide

Thermodynamic processes

Question

A polyatomic gas $(γ = \frac{4}{3})$ is compressed to $\frac{1}{8}$ of its volume adiabatically. If its initial pressure is P₀, its new pressure will be

Moderate

A

8P₀
B

16P₀
C

6P₀
D

2P₀

Solution

$\frac{P_{2}}{P_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ} \Rightarrow P_{2} = P_{1} {(\frac{V_{1}}{V_{2}})}^{γ} = P_{0} (8)^{4 / 3} = 16 P_{0}$

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