# A gas has a volume of 525 mL at 625 Torr. What would be the new volume if the pressure was change to 1.5 atm?

Nov 29, 2015

Here, we use Boyle's law: at constant temperature, pressure is inversely proportional to volume.

#### Explanation:

$P \propto \frac{1}{V}$ OR $P V = k$

So ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$ (how did I get this formula from the former?)

So ${V}_{2} = \frac{{P}_{1} {V}_{1}}{P} _ 1$ $=$ ??

$625$ $\cancel{m m H g} \times 525 m L$ $\times$ $\frac{1}{1520 \cdot \cancel{m m H g}}$ $=$ ?? mL

Here I am perfectly free to use non-standard units of pressure and volume; Robert Boyle (possibly) used inches of mercury.