A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0 liters to 6.0 liters.If the initial pressure is P₀,what is the final pressure?

Question

Quizplus · Accepted Answer

For an adiabatic process in a monatomic ideal gas, $PV^{\gamma} = \text{constant}$, where $\gamma = \frac{5}{3}$. Using $P_1V_1^{\gamma} = P_2V_2^{\gamma}$, we find $P_2 = P_0 \left(\frac{V_1}{V_2}\right)^{\gamma} = P_0 \left(\frac{2}{6}\right)^{5/3} \approx 0.16 P_0$.

A Quantity of Monatomic Ideal Gas Expands Adiabatically from a Volume