Question

The volume of a gas varies inversely as the pressure upon it. If the volume of the gas is 160 cubic centimeters at a pressure of 108 centimeters, find the volume when the pressure is 87 centimeters. Round decimal answers to the tenths' place.

Answer 1

The new volume is
`198.62\ cm^3`.

Explanation:

We are given with the volume of a gas varies inversely as the pressure upon it.

Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.

According to given condition,

`V\propto (1)/(P)`

`P_1V_1=P_2V_2`

`V_2` is new volume

`V_2=(P_1V_1)/(P_1)\\\\V_2=(160* 108)/(87)\\\\V_2=198.62\ cm^3`

So, the new volume is
`198.62\ cm^3`.