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 pressu…

Question

asked Apr 25, 2021 108k views

1 Answer

Ted · Answer 1 · 2021-04-30T04:05:49+0000

Answer:

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
$198.62\ cm^3$ .