For Tutorial, January 17 (Do not use Excel for these) For the binary system benzene (1) / toluene (2), assuming Raoult’s law is valid: (a) If x1 = 0.4 and t = 90oC, calculate y1 and P [Ans. P = 87.18 kPa, y1 = 0.626] (b) If y1 = 0.4, t = 90oC, calculate x1 and P [Ans. P = 71.54 kPa, x1 = 0.210] (c) At t = 100oC, P = 110 kPa, calculate x1 and y1. [Ans. x1 = 0.337, y1 = 0.552] (d) At t = 100oC, P = 110 kPa, if the mol fraction of benzene in the overall vapor‐liquid system is z1 = 0.43, what mol fraction ν of the two‐phase system is vapor ? [Ans. ν = 0.433] (e) At 100 C, if the mol fraction of benzene in the overall vapor‐liquid system is z1 = 0.43, find the pressure range at which the mixture exists as a two‐phase system. What is the phase of the mixture above and below this pressure range ? o [Ans. 99.42 kPa < P < 119.92 kPa for VLE] (f) For T = 105oC, z1 = 0.4, ν = 0.5, find P, x1 and y1 at equilibrium [Ans. x1 = 0.297, y1 = 0.503, P = 121.72 kPa]