Answer to Question #208486 in Molecular Physics | Thermodynamics for Chris

Question

The pressure of an ideal gas is reduced by 50%, resulting in a decrease in temperature to 75% of the initial value. Calculate the ratio of the final to initial volumes of the gas.

Answer 1

The combined gas law is

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

Given that P₂ = 0.50 P₁ and T₂ = 0.75 T₁,

$\frac{P_1V_1}{T_1}=\frac{0.50P_1\times{xV_1}}{0.75T_1}$

x = 1.5, which means that V₂ = 1.5 V₁, and $\frac{V_2}{V_1}=1.5$

Answer: 1.5