For a binary system of benzene (1)/ethylbenzene (2), the following equations provide relevant correlation for the activity coefficients: ln1=Ax22 and ln2=Ax12 where A=3.2510.00123T T is temperature and is in K. Assuming the validity of modified Raoult's law for this system. (a) Determine pressure P and vapor mole fraction of benzene y1 at T= 323.15K. Given x1=0.35. (10 Marks) (b) Show on whether an azeotrope exists for this system at 323.15K. (6 Marks) (c) Determine the azeotropic pressure Paz and azeotropic compositions x1az and x2az at 323.15K (4 Marks)