A gas a volume of 2.50 L at a pressure of of 350.0 kPa. If the temperature remains constant, what volume would the gas occupy at 1750 kPa?

1 Answer
May 2, 2016

Answer:

The new volume of the gas is #"0.500 L"#.

Explanation:

This is an example of Boyle's law, which states that at constant temperature and mass, the volume of a gas will vary inversely with the pressure. The equation to use for solving your question is #P_1V_1=P_2V_2#, where #P_1# is initial pressure, #V_1# is initial volume, #P_2# is the final pressure, and #V# is the final volume.

Known
#P_1="350.0 kPa"#
#V_1="2.50 L"#
#P_2="1750 kPa"#

Unknown
#V_2="???"#

Solution
Rearrange the equation to isolate #V_2#. Substitute the known values into the equation and solve.

#P_1V_1=P_2V_2#

#V_2=(P_1V_1)/P_2#

#V_2=(350.0cancel"kPa"xx2.50"L")/(1750 cancel"kPa")="0.500 L"#