High School

A sample of CO₂ gas has a pressure of 36.6 mm Hg in a 125 mL flask. The sample is transferred to a new flask, where it has a pressure of 72.1 mm Hg at the same temperature. What is the volume of the new flask?

Answer :

Using Boyle's Law, the volume of the new flask, when the CO2 gas is transferred and has a pressure of 72.1 mm Hg, is calculated to be 63.6 mL.

The student's question involves the application of Boyle's Law, a basic gas law in Chemistry that states that for a given mass and constant temperature, the pressure exerted on the side of the container by a gas is inversely proportional to the volume of the gas.

Boyle's Law is mathematically expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume of the gas respectively.

To solve for the volume of the new flask (V2), we can rearrange the equation to V2 = P1V1 / P2.

Plugging in the values from the question, we have V2 = (36.6 mm Hg * 125 mL) / 72.1 mm Hg, which simplifies to V2 = 63.6 mL. Therefore, the volume of the new flask is 63.6 mL.