Question

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"`?

Answer 1

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"`