Solve Problem 12.D22 with a mass balance and the Kremser equation.

Data From Problem 12.D22

We are adsorbing dichloromethane from air into water at \(25^{\circ} \mathrm{C}\) and \(10.0 \mathrm{~atm}\). pressure in a countercurrent absorber. The inlet vapor flow rate is 150 \(\mathrm{mol} / \mathrm{minute}\). The inlet gas is \(0.0025 \mathrm{~mol}\) fraction dichloromethane, and we want an outlet mol frac in the gas of 0.00016 . The entering solvent is pure water. What is the minimum solvent rate? Equilibrium data are in Table 12-2.

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TABLE 12-2. Henry's law constants for Eq. (12-3) and solubilities for chlorinated compounds in water at 25.0C and 1.0 atm (Yaws et al., 2005) Compound Carbon Chloroform Dichloro- Vinyl tetra- CHCl3 chloride CCl4 1,2,3,- 1- 1-Chloro- methane chloride Trichloro-Chloro- naphthalene CH2Cl2 C2H2Cl propane heptane C 10H-Cl C3H5Cl3 C7H15Cl atm H 1589.36 211.19 137.00 1243.84 23.78 2130.28 10.96 mole frac. Solubility, 93.68 1190.1 ppm (mol) 4175.4 778.9 213.99 1.8196 2.48