Question

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a

pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.
The pressure is____
pounds

Answer 1

Explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

`V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3`

We need to find pressure
`P_2`.

According to question,

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

Putting all the values

`P_2=(P_1V_1)/(V_2)\\\\P_2=(8* 32)/(60)\\\\P_2=4.26\ \text{pounds}`

So, the pressure is 4.26 pounds.