Question

What is the volume occupied by 6.244 L of gas at 99.21kPa after it has been compressed to 211.1kPa?

Answer 1

`V_2=2.93\ L`

Step-by-step explanation:

Boyle's law gives the relation between pressure and volume of a gas. Volume of a gas is inversely proportional to its pressure at constant temperature.

`V\propto (1)/(P)\\\\PV=k`

`P_1V_1=P_2V_2`

We have,

`V_1=6.244\ L\\\\P_1=99.21\ kPa\\\\P_2=211.1\ kPa`

We need to find
`V_2`

Using above equation,

`V_2=(P_1V_1)/(P_2)\\\\V_2=(99.21* 6.244)/(211.1)\\\\V_2=2.93\ L`

So, the new volume is 2.93 L.