Question

A gas has a pressure of 150 kPa at a volume of 6 m3. Calculate the volume of the same mass of gas at a pressure of 425 kPa

Answer 1

V2 = 2.12 m³

Step-by-step explanation:

Given the following data;

Original pressure, P1 = 150 kPa

New pressure, P2 = 425 kPa

Original volume, V1 = 6 m³

To find the new volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

`PV = K`

`P_(1)V_(1) = P_(2)V_(2)`

Substituting into the equation, we have;

`150 * 6 = 425V_(2)`

`900 = 425V_(2)`

`900 = 425V_(2)`

`V_(2) = \frac {900}{425}`

`V_(2) = 2.12`

Therefore, the new volume of the mass of gas is 2.12 cubic metre.