please answer with clear steps and correct solution.

2) A 5ft3 vessel is used to store 110lbm of methane. Because of a cooling failure, the temperature increases to 100F, which makes the LNG a supercritical fluid. If the vessel is rated "safe" for pressures up to 500atm, will the vessel rupture? Solve this problem using a) the ideal gas law, and b) the van der Waals EOS (a= 8496ft6psia/lbmol2, and b=0.685ft3/lb mol