Question

If temperature is constant,the pressure in a gas container varies inversely as the volume of the container. If the pressure is 18 lbs per square ft in a container w a volume of 5 cubic ft, what is the pressure in a container w volume of 6 cubic ft?

Answer 1

You can just apply the ideal gas equation
\[PV=nRT\]
nRT is constant, since you're not changing the temperature or the the amount of gas. So you can equate the pressure and volume of the first container to the pressure and volume of the second container

\[P_1V_1=P_2V_2\]
\[P_2=\frac{P_1V_1}{V_2}\]

Answer 2

\[P_1 = 18 \ \text{lbs}/ft^2\]
\[V_1=5 \ ft^3\]
\[V_2=6 \ ft^3\]