Question

5. A quantity of gas under a pressure of 3.78 atm has a volume of 750 L. The pressure is increased.

to 523 kPa, while the temperature remains constant. What is the new volume?

Answer 1

The new volume of gas is 550.24L.

Explaining

The new volume of gas can be calculated using Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature is constant.

Boyle's Law: P1V1 = P2V2

Where:

P1 = initial pressure

V1 = initial volume

P2 = final pressure

V2 = final volume

Given:

P1 = 3.78 atm

V1 = 750 L

P2 = 523 kPa

Note: The pressure should be in the same units, so we need to convert kPa to atm.

1 atm = 101.325 kPa

523 kPa ÷ 101.325 kPa/atm = 5.15 atm

P2 = 5.15 atm

Substituting the given values into Boyle's Law:

P1V1 = P2V2

3.78 atm × 750 L = 5.15 atm × V2

Solving for V2:

V2 = (3.78 atm × 750 L) ÷ 5.15 atm

V2 = 550.24 L

Therefore, the new volume of gas is 550.24 L.