# Why is Boyle's law graph curved?

##### 1 Answer

Boyle's law expressed the inverse relationship between an ideal gas' pressure and its volume if temperature is kept constant, i.e. when pressure increases, volume decreases, and vice versa.

I won't detail how to graph this relationship, since it has been answered in great detail here:

http://socratic.org/questions/how-do-you-graph-boyles-law?source=search

Now, here's how the

If you were to do an experiment and plot the

The interesting thing about a hyperbola is that it has two asymptotes, a horizontal one and a vertical one. An asymptote is essentially a line that a curve approaches as it heads to infinity.

The physical explanaition for the existance of these asymptotes is the fact that *no matter how much the pressure increases*, the volume can **never be zero**; likewise, *pressure can never be zero* as this would mean an **Infinitely large** volume.

In other words, you would need infinite pressure to compress a gas completely. Likewise, pressure can never be zero because, theoretically, the gas would expand to an infinite volume.

So, even without having any experimental data to fit into a graph, one could estimate that the inverse relationship between pressure and volume must have two asymptotes, and if that's the case, it *must be a curve*.