JEE Advanced levelNumerical answerDifficulty 3 of 3rg064
One mole of COX2 (a=3.59L2atmmol−2, b=0.0427Lmol−1) occupies 0.200L at 300K. Using the van der Waals equation and R=0.0821LatmK−1mol−1, the compressibility factor (two decimals) is
Numerical answer type, tolerance 0.02.
Answer: 0.54
P=Vm−bRT−Vm2a=0.157324.63−0.04003.59=156.58−89.75=66.83atm. Z=RTPVm=24.6366.83×0.200=0.5427, i.e. 0.54. Strong attraction in COX2 gives Z well below 1.