For a binary mixture of components 1 and 2, show that the equilibrium phase compositions and amounts can be computed directly from the following reduced forms of Eqs. (5), (6), and (3) of Table 4.4

X = (1 - K2)/(K1 - K.) y = (K, K - K1)/(K- K)) y2 =1- y zil(K - K2)/(1 - Kl-1 K - 1 V. Specified variables: F, TF, PE. Z1, 2, Steps (1) T = Ty (2) PL = Py .c, Ty, Py (3) Solve z(1 K,) fIV) = 1+ V(K, - 1) for V = V/F, where K; = K;(Tv, Pv). (4) V = FY (5) X; = 1+ 4(K; 1) Z. K, (6) y = = X; K; 1+ 4(K; - 1) (7) L = F- V (8) Q = hy V +h-hF F