Question

The volume of a gas "V" varies inversely with the pressure "P" put on it. If the volume is 360cm³ under a pressure of 20 kgcm2, then what pressure is needed for it to have a volume of 480cm³?

Answer 1

`15\,\,kg/cm^2`

Explanation:

Given:

The volume of a gas "V" varies inversely with the pressure "P" put on it.

Volume is 360
`cm^3` under a pressure of 20
`kg/cm^2`

To find:

pressure when volume is 480
`cm^3`

Solution:

As of a gas "V" varies inversely with the pressure "P" put on it,

`V=(k)/(P)`

Here, k is a constant

As volume is 360
`cm^3` under a pressure of 20
`kg/cm^2`, put
`V=360\,,\,P=20`

`360=(k)/(20)\\k=360* 20\\=7200`

So,

`V=(7200)/(P)`

Put
`V=480`

`480=(7200)/(P)\\P=(7200)/(480)\\=15\,\,kg/cm^2`