Boyle's Law: Volume Calculation Example

What is the volume of gas when the pressure increases to 260 kPa?

A 45mL sample of gas is collected under a pressure of 190 kPa. What will the volume be if the pressure increases to 260 kPa?

Answer:

The new volume will be 32.88 litres if the pressure increases to 260 kPa.

Boyle's Law describes the relationship between the pressure and volume of a gas at constant temperature. The law states that the pressure of a given mass of gas is inversely proportional to its volume, as long as the temperature remains constant.

In this specific example, we are given an initial volume of 45 mL of gas at a pressure of 190 kPa. To calculate the new volume when the pressure increases to 260 kPa, we can use Boyle's Law formula:

V2 = [P1 * V1] / P2

Plugging in the values:

V2 = [45 * 190] / 260

V2 = 32.88 Litres

Therefore, the new volume of the gas will be 32.88 litres when the pressure is increased to 260 kPa.