A #"1.32 L"# volume of gas has a pressure of #"1.00 atm"#. What will the volume be if the pressure is increased to #"30.0 atm"#?

1 Answer
Nov 8, 2016

The final volume will be #"0.0440 L"#

Explanation:

This question involves Boyle's law, which states that the volume of a given amount of gas varies inversely to its pressure as long as the temperature and mass remain constant.

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#P_1="1.00 atm"#
#V_1="1.32 L"#
#P_2="30.0 atm"#
#V_2="???"#

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

#V_2=(P_1V_1)/P_2#

#V_2=(1.00cancel"atm"xx1.32"L")/(30.0cancel"atm")="0.0440 L"#