Question

The volume of a gas is ______ time the initial volume when the pressure is reduced to half and the absolute temperature is doubled.

Answer 1

The volume of a gas is four times higher than its initial volume when the pressure is reduced to half and the absolute temperature is doubled.

$⟹\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}⟹\frac{P_1{V}_1}{T_1}=\frac{{0.5P}_1\times V_2}{2T_1}⟹V_2=4V_1$