Estimate the solubility of carbon dioxide in toluene at 25°C and 1 bar of CO₂ partial pressure using the Peng-Robinson equation with a zero binary interaction parameter. The techniques of problem 15.27 may be helpful.

Data from Problem 15.27

For the gas/solvent systems below, we refer to the “gas” as the low molecular weight component. Experimental solubilities of light gases in liquid hydrocarbons are tabulated below. The partial pressure of the light gas is 1.013 bar partial pressure. Do the following for each assigned system. Estimate the partial pressure of the liquid hydrocarbon by calculating the pure component vapor pressure via the Peng-Robinson equation, and by subsequently applying Raoult’s law for that component. Estimate the total pressure and vapor composition using the results of step (a). Use the Peng-Robinson equation with k_ij = 0 to calculate the vapor and liquid compositions that result in 1.013 bar partial pressure of the light gas and compare the pressure and gas phase composition with steps (a) and (b). Henry’s law asserts that f^{^}_i = h_ix_i , when x_i is near zero, and hi is the Henry’s law constant. Calculate the Henry’s law constant from the calculations of part (c).

Calculate the solubility expected at 2 bar partial pressure of light gas by using Henry’s law as well as by the Peng-Robinson equation and comment on the results.

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Gas (1) Methane (ii) Methane (iii) Methane (iv) Methane Methane Liquid Cyclohexane Carbon tetrachloride Benzene n-hexane n-hexane T (°C) 25 25 25 25 25 Xgas 2.83 E-3 2.86 E-3 2.07 E-3 3.15 E-3 4.24 E-3 Source a a a b с