Question

1. A gas has a volume of 45 L at a pressure of 140 kPa. What is the volume when

the pressure changes to 300kPa?

Answer 1

The new volume of the gas is 21 L.

Step-by-step explanation:

Volume of a gas is inversely proportional to its pressure at constant temperature such that,

`V\propto (1)/(P)`

or

`P_1V_1=P_2V_2`

We have,

`V_1=45\ L\\\\P_1=140\ kPa \\\\P_2=300\ kPa`

It is required to find V₂. Using above law or Boyle's law such that :

`V_2=(P_1V_1)/(P_2)\\\\V_2=(140* 45)/(300)\\\\V_2=21\ L`

So, the new volume of the gas is 21 L.