Question

25 L of a gas is collected at 115 kPa. If the pressure increases to 300 kPa, what is the new volume?

Answer 1

V2 = 9.58 Litres.

Step-by-step explanation:

Given the following data;

Initial volume = 25 L

Initial pressure = 115 kPa

Final pressure = 300 kPa

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;

`115 * 25 = 300*V_(2)`

`2875 = 300*V_(2)`

`V_(2) = \frac {2875}{300}`

`V_(2) = 9.58`

V2 = 9.58 L

Therefore, the new volume is 9.58 litres.