Question

The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature. What is the new gas pressure?

Answer 1

The new gas pressure is 800 mmHg.

Explanation:

This is an example of Boyle's law, which states that at constant mass and temperature, the volume of a gas is inversely proportional to the pressure.

The equation for Boyle's law is `P_1V_1=P_2V_2"`.

Given
`V_1="400 mL"`
`P_1="400 mmHg"`
`V_2="200 mL"`

Unknown
`P_2`

Solution
Rearrange the equation to isolate `P_2`. Substitute the given values into the equation and solve.

`P_1V_1=P_2V_2"`

`P_2=(P_1V_1)/V_2`

`P_2=((400"mmHg") * (400"mL"))/(200"mL")="800 mmHg"`