Question

A $1000mL$ sample of a gas at $-{73}^{\circ }C$ and $2$ atmosphere is heated to ${123}^{\circ }C$ and the pressure is reduced to $0.5$ atmosphere. What will be the final volume?

Answer 1

$P_1=2atm$

$V_1=1L$

$T_1=-73+273=200K$

$P_2=0.5atm$

$T_2=123+273=396K$

We know that $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$V_2=\frac{2\times 396}{0.5\times 200}=7.92L$