A sample of fluorine has a volume of 6.46 L when the temperature is -20.1 degC and the pressure is 855 torr. What will be the volume when the pressure is 99.15 kPa and the temperature is 120.9 degC?

For any units that didn't cancel, we need to find the proper conversion factor. I prefer to write the units so that they will cancel, and then look up the number to put it on the correct side of the fraction.

Solving this gives us V2 = 11.56 L. Intuitively, this makes sense: the pressure didn't change much but the temperature went up a fair amount, so an increase in volume is expected. [Please check the values yourself; I don't intentionally make any mistakes but it can always happen.]

The formula used is a simplification of the Ideal Gas Law used for comparing the same amount (mass) of gas under two sets of conditions. This is also known as the 'Combined Gas Law'. It can be derived from the Ideal Gas Law by solving for n, which is the same in both cases (the constants drop out as well).

Feb 6th, 2015

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