# A 2.0 liter container of nitrogen had a pressure of 3.2 kPa. What volume would be necessary to decrease the pressure to 1.0 kPa?

May 14, 2017

At constant $T$, ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$. This is old Boyle's Law: $P \propto \frac{1}{V}$ or $P V = k$, a constant.
So we solve for ${V}_{2} = \frac{{P}_{1} {V}_{1}}{P} _ 2 = \frac{3.2 \cdot k P a \times 2.0 \cdot L}{1.0 \cdot k P a}$
$= 6.4 \cdot L$