Question

Just need it done for Acetone(1)/Methanol(2)

Problems 12.12 through 12.23 require parameter values for the Wilson or NRTL equation for liquid-phase activity coefficients. Table 12.5 gives parameter values for both equations Antoine equations for vapor pressure are given in Table B.2. Appendix B. 12.12. For one of the binary systems listed in the preceding table, based on Eq. (10.5) and the Wilson equation prepare a P-x-y diagram for 60 C.

Answer 1

SHEET 1 Temperature, T = 60 degree C = (60 + 273.15) k = 333.15 k For Acetone, V_1 = 74.05 cm^3/mol = 74.05 * 10^-6 m^3/mol a_12 = -161.88 cal/mol = -161.88 * 4.184 J/mol a_12 = -677.30592 J/mol a_21 = 583.11 cal/mol = 583.11 * 4.184 = 2439.73224 J/mol & For Methanol, V_2 = 40.73 cm^3/mol = 40.73 * 10^-6 m^3/mol Wilson equations are: ln r_1 = -ln (x_1 + x_2 ^12) + x_2 W - (1) 2 ln r_2 = -ln(x_2 + x_2 ^21) plusminus x_2 W - (2) ^12 = V_2/V_1 l (- a_12/RT) - (3) ^21 = V_1/V_2 l (-a_21/RT) - (4) W = ^12/x_1 + x_2 ^12 - ^21/x_2 + x_1 ^21 - (5) Antoine equation for acetone is: log P_1^sat = 4.42448 - -1312.253/T - 32.445 log P_1^sat = 4.42448 - 1312.253/333.15 - 32.445 { at 60 degree C} Threfore P_1^sat = 1.1496 bar. Antoine equation for methanol is: log P_2^sat = 5.20409 - 1581.341/T - 33.5 = 5.20409 - 1581.341/333.15 - 33.5 \r\n
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