Question

Volume of certain amount of a gas at ${25}^0$C and $100$cm Hg pressure is $80$mL. The gas is expanded to $160$mL keeping the temperature constant. Calculate the pressure of the expanded gas.

Answer 1

$\text{initial conditions :- T}{}_1\text{= 298 K ; P}{}_1\text{= 100 cm ; V}{}_1\text{= 80 ml}\text{final conditions :- T}{}_2\text{=198 K V}{}_2\text{= 160 ml}{P}_1{V}_1=P_2{V}_2\text{[Boyle's Law]}\Rightarrow \left(100cm\right)\left(80\right)=P_2\left(160\right)\Rightarrow P_2\text{= 50 cm of Hg}$