Toluene can be hydrodealkylated to benzene, but the conversion per pass through the reactor is only about 70%. Consequently, the toluene must be recovered and recycled. Typical conditions for the feed to a commercial distillation unit are 100oF, 20 psia, 415 lbmol/h of benzene, and 131 lbmol/h of toluene. Based on the property constants below, and assuming that the ideal gas, ideal liquid solution model of Table 2.4 applies at this low pressure, prove that the mixture is a liquid and estimate VL and ?L in American engineering units.Property constants for (2-38) and (2-39), where in all cases, T is in K, are

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Ideal gas and ideal-gas solution: V M RT M =y, M, (1) vy = %3D i=1 Σ (C),v dT = Evh (2) hy = E %3D Ου-Σ. [9υπ-κι (β) -ε y In y (3) sv = To where the first term is s Ideal-liquid solution: M =x, M, (4) v = %3D PL ΣΜ (5) hL Σ (-ΔΗ" AH dT - т vap (C)v (6) s1 = т , In x, - R -R In Vapor-liquid equilibria: (7) K; %3D