# Question #fde17

Apr 7, 2015

Boyle's Law is

$P V = k$ or $P = \frac{k}{V}$

There are three common ways of plotting Boyle's Law: $P$ vs. $V$, $P$ vs. $\text{1/} V$, and $P V$ vs. $V$.

$P$ vs. $V$

A plot of $P$ vs. $V$ is a hyperbola.

Remember that $\frac{P V}{T} = k$ or $P = \frac{k T}{V}$.

If we increase the temperature, the new value of $k T$ will be higher, and the new graph will be above the original plot.

$P$ vs. $\text{1/} V$

Since $P = \frac{k T}{V}$, a plot of $P$ vs. $\text{1/} V$ is a straight line with a slope $k T$ starting at the origin.

If $T$ increases, the slope $k T$ increases, and the new graph will be above the original plot.

$P V$ vs. $V$

A plot of $P V$ vs. $V$ is a horizontal straight line, because $P V = k T = \text{a constant}$.

If $T$ increases, $k T$ increases, and we get a new horizontal line above the original plot.