Question

The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches under a pressure of 14 pounds per square inch, what will be its volume if the pressure is increased to 19 pounds per square inch?

Answer 1

`244.29\ in^3`

Explanation:

We apply Boyle's Law that states that pressure and volume for a fixed mass of an ideal gas are exhibit inverse proportionality.

-This law is expressed as:

`(P_1)/(P_2)=(V_2)/(V_1)`

where the a the gas' pressure and volume are varied to assess the change in the other variable.

-Volume 2 is therefore calculated as:

`(P_1)/(P_2)=(V_1)/(V_2)\\\\\\(14)/(19)=(180)/(V_2)\\\\\\V_2=(180* 19)/(14)\\\\=244.29 \ in^3`

Hence, the volume if the pressure is increased to 19 pounds per square inch is
`244.29\ in^3`