# If the pressure on a gas is decreased by one-half, how large will the volume change be?

Jun 13, 2017

The volume will increase by a factor of $2$.

#### Explanation:

Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming that all other variables are constant.

Modeled by the equation: ${P}_{\text{1"V_"1"=P_"2"V_"2}}$

where:

• $P$ is the pressure in whatever units you desire. The units must be used consistently. I prefer atmospheric pressure .

• $V$ is the volume of the gas in whatever units you desire. The units must be used consistently. I prefer litres.

• the subscripts $1$ and $2$ are before and after the change, respectively.

Due to the inverse proportion of the pressure of the gas and its volume, if the pressure was decreased to $\frac{1}{2}$ of what it was, that results in the volume increasing by a factor of $2$.

Hope this helps :)