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

Answer:

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

Step-by-step 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,

$V=\frac{k}{P}$

Here, k is a constant

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

$360=\frac{k}{20}\\k=360\times 20\\=7200$

So,

$V=\frac{7200}{P}$

Put $V=480$

$480=\frac{7200}{P}\\P=\frac{7200}{480}\\=15\,\,kg/cm^2$