Question 888: Thermodynamics & KTG

Question

A monoatomic gas is suddenly compressed to (1/8)
th
of its initial volume adiabatically. The ratio of the final pressure to initial pressure of the gas is ($$\gamma=5/3$$)

Accepted Answer

$$\frac{\mathrm{V}_2}{\mathrm{~V}_1}=\frac{1}{8}, \gamma=\frac{5}{3}$$
For adiabatic process,
$$\begin{aligned}
& P_1 V_1^\gamma=P_2 V_2^\gamma \
	herefore & \frac{P_2}{P_1}=\left(\frac{V_1}{V_2}ight)^\gamma=(8)^{5 / 3}=(2)^5=32
\end{aligned}$$

Answer

32

Answer

8

Answer

$$\frac{40}{3}$$

Answer

$$\frac{24}{5}$$

Thermodynamics & KTG

A monoatomic gas is suddenly compressed to (1/8) th of its initial volume adiabatically. The ratio of the final pressure to initial pressure of the gas is ($\gamma=5/3$)

Choose the correct answer: