# If you want to solve for the volume of a gas (V2) and P1 is greater than P2, would you expect V2 to be larger or smaller than V1?

Jun 23, 2014

${V}_{2}$ would be greater than ${V}_{1}$

The relevant gas law is Boyle's Law:
For a fixed mass of gas at constant temperature the pressure of the gas is inversely proportional to its volume.

$p \propto \frac{1}{V}$

So if the volume of the gas is increased the gas pressure will decrease.

We can also write the relationship above as $p V =$ constant

so ${V}_{2} = {p}_{1} / {p}_{2} \cdot {V}_{1}$

In the case of this question ${p}_{1} / {p}_{2}$ is larger than 1 so ${V}_{2} > {V}_{1}$.