Question

The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 450 cubic inches under a pressure of 3 pounds per square inch, what will be its volume if the pressure is increased to 5 pounds per square inch

Answer 1

Answer:
`270\ in.^3`

Explanation:

Given

Volume of a gas varies inversely with pressure i.e.

`V\propto (1)/(P)\\\\PV=\text{constant}`

Initially,
`V_1=450\ in.^3,P_1=3\ psi`

Then, pressure increases to
`P_2=5\ psi`

`\therefore P_1V_1=P_2V_2\\\Rightarrow 3* 450=5* V_2\\\Rightarrow V_2=3* 90\\\Rightarrow V_2=270\ in.^3`

Thus, volume decreases to
`270\ in.^3`.