Question

Question #8ea79

Answer 1

You have three variables, `P`, `V`, and `T`, so you need a three-dimensional graph with `P`, `V`, and `T` axes.

You get a 3D surface that looks like the middle graph in the image below.

If the temperature is constant and you look at the graph in a `PV` plane, you see the blue line hyperbola of Boyle's Law, `PV = k`.

If the pressure is constant and you look at the graph in a `VT` plane, you see the straight black line of Charles' Law, `V= kT`.

If the volume is constant and you look at the graph in a `PT` plane, you see the straight red line of Amontons' Law (often called Gay-Lussac's Law), `P= kT`.

Put them all together, and the 3D surface is a graph of the Combined Gas Law, `(PV)/T = k`.