Question

A sample of gas occupies 1.40 L at 25 degrees C and 760 mmHg. What volume will it occupy at the same temperature and 380 mmHg?

Answer 1

The volume the gas will occupy at 380 mmHg while the temperature remains constant is 2.80 L, calculated using Boyle's Law.

Step-by-step explanation:

The subject of the question involves the behavior of gases under different pressures while temperature remains constant, which is described by Boyle's Law. Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. To find the new volume of gas at 380 mmHg, you can set up a proportional relationship using the initial and final pressures and volumes.

Using the initial conditions of the gas (1.40 L at 760 mmHg) and the final pressure of 380 mmHg at the same temperature, we can solve for the unknown final volume (V2) using the formula P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

1. Calculate using Boyle's Law: (1.40 L) = (760 mmHg) (V2) / (380 mmHg)
2. Rearrange and solve for V2: V2 = (1.40 L * 760 mmHg) / (380 mmHg)
3. Final volume V2 = 2.80 L

The gas will occupy a volume of 2.80 L at 380 mmHg at the same temperature.