Hi
I really need help with the followign question I found on a past paper - after attempting to answer it, even the mark scheme didn't really explain it. This is the question:
The average kinetic energy of a molecule is directly proportional to the kelvin
temperature T, i.e. E = constant × T. The pressure p of an ideal gas is given by the equation
P = 1/3 ρ <c^2>
Use this information to show that p is directly proportional to T for a fixed mass of gas at constant volume.
After looking at the mark scheme, it merely says this, which I don't understand:
"substitute for density in the pressure equation
½ m<c^2> = 3pV/2N
Equate this expression to constant xT"
Please help