According to the ideal gas law, a 0.9921 mol sample of nitrogen gas in a 1.981 L container at 270.7 K should exert a pressure of 11.12 atm. By what percent does the pressure calculated using the van der Waals' equation differ from the ideal pressure? For N_{2} gas, a = 1.390 L^{2}atm/mol^{2} and b = 3.910E-2 L/mol.

%

Hint: % difference = 100 x (P _{ideal} - P_{van der Waals}) / P _{ideal}