How would a graph of pressure versus volume appear for a given quantity of gas?

Nov 19, 2016

Boyle's Law was:

$P V = \text{const}$

so if one plots $P$ vs. $V$, it would have to be like this:

$P = \text{const} \cdot \frac{1}{V}$

You can see that it resembles $f \left(x\right) = \frac{1}{x}$:

graph{1/x [-10,-10, -5, 5]}

If $P$ was truly able to reach $0$, it would imply that $V \to \infty$. Clearly, we cannot have an infinitely-large container, and thus, volume can never truly be infinite.

Similarly, it is impossible to have a volume of $0$, because we would not have a system. It would also imply an infinite pressure, which is also impossible; pressure has been measurable for as long as we've had mercury manometers.