Question

The volume of a gas at 99.6 kPa and 24°C is 4.23 L. What volume will it occupy at 93.3 kPa ?

Answer 1

The volume is increased to 4.52 L on decreasing the pressure to 93.3 kPa.

Explanation:

As per Boyle's law, the volume occupied by gas particles will be inversely proportional to the pressure experienced by those particles at constant temperature.

$V=\frac{1}{P}$

So in the present problem, the volume of gas at pressure P₁ = 99.6 kPa is given as V₁ = 4.23 L. The temperature is kept constant at 24°C. Then, if the pressure is decreased to 93.3 kPa, then the volume is tend to increase due to Boyle's law.

So let us consider the new pressure be P₂ = 93.3 kPa and the new volume has to be found.

Then using Boyle's law, $P_{1} V_{1} = P_{2} V_{2}$

Then, $V_{2}=\frac{P_{1} V_{1} }{P_{2} }$

So, $V_{2}=\frac{99.6*1000*4.23}{93.3*1000}=4.52 L$

Thus, the volume is increased to 4.52 L on decreasing the pressure to 93.3 kPa.