Question

The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 356 cubic inches under a pressure of 6 pounds per square inch, what will be its volume if the pressure is increased to 7 pounds per square inch? Round your answer to the nearest integer if necessary.

Answer 1

`V_2=305.14\ \text{inch}^3`

Explanation:

The volume of a gas in a container varies inversely as the pressure on the gas.

`V\propto (1)/(P)\\\\V_1P_1=V_2P_2`

If V₁ = 356 inch³, P₁ = 6 pounds/in², P₂ = 7 pounds/in², V₂ = ?

So, using the above relation.

So,

`V_2=(V_1P_1)/(P_2)\\\\V_2=(356* 6)/(7)\\\\V_2=305.14\ \text{inch}^3`

So, the new volume is
`305.14\ \text{inch}^3`.