Question

A container of argon with a volume of 22 ml has a pressure of 101.0 kPa.

Calculate the new pressure when the volume is increased to 50 ml.

Answer 1

The new pressure is 44.4 kPa.

Step-by-step explanation:

We have,

Initial volume,
`V_1=22\ ml`

Initial pressure,
`P_1= 101.0\ kPa`

It is required to find the new pressure when the volume is increased to 50 ml. The relationship between pressure and volume is known as Boyle's law.

`PV=k\\\\P_1V_1=P_2V_2`

`P_2` is final pressure

`P_2=(P_1V_1)/(V_2)\\\\P_2=(22* 101* 10^3)/(50)\\\\P_2=44440\ Pa\\\\P_2=44.4\ kPa`

So, new pressure is 44.4 kPa.