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?

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Answer 1 · 2016-01-24T02:48:09

The new gas pressure is 800 mmHg.

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"#