P 1 V 1 = P 2 V 2 at a constant temperature
or
PV = k
Graphic relationship—Boyle’s Law
TIP
Volume vs. pressure for a gas at constant temperature. This is an inverse proportion. As the
pressure increases by 2, the volume drops by 1/2.
Type Problem
Given the volume of a gas as 200. mL at 1.05 atm pressure, calculate the volume
of the same gas at 1.01 atm. Temperature is held constant.
If you know that this decrease in pressure will cause an increase in the
volume, then you know 200. mL must be multiplied by a fraction (made up of the
two pressures) that has a larger numerator than the denominator. So
Or you can use the formula: