Optimistic Gas Law Calculation

Can you calculate the new pressure of a gas sample?

A sample of gas has a volume of 3.50 L and a pressure of 125 mm Hg. What will the new pressure be when the volume is decreased to 2.75 L? The temperature stays the same.

Answer:

The new pressure will be 159.09 mmHg.

Boyle's law can be used to calculate the new pressure of a gas sample when the volume changes. Boyle's law states that the pressure of a gas is inversely proportional to its volume when the temperature remains constant.

The formula for Boyle's law is:

P2 = (P1 * V1) / V2

Where:

P1 is the initial pressure (125 mm Hg)

P2 is the final pressure (to be calculated)

V1 is the initial volume (3.50 L)

V2 is the final volume (2.75 L)

By plugging in the values from the question into the formula:

P2 = (125 * 3.50) / 2.75 = 437.5 / 2.75 = 159.09 mmHg

Therefore, the new pressure of the gas sample will be 159.09 mmHg when the volume is decreased to 2.75 L.