Understanding how a real gas (eg. van der Waals gas) differs from an ideal gas. Interpreting the pressure-volume behaviour of gases.
In an industrial process, nitrogen has to be heated to 500K at constant volume. If it enters the system at 300 K and 100 atm, what pressure does it exert at its final working temperature? Treat it as a van der Waals gas. Assume the volume is 1 m^3 (where "^" means "to the exponent").