A stirred tank with volume Vt(L) is charged with Vl(L) of a liquid, B. The space above

Chapter 8, Problem 8.109

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A stirred tank with volume Vt(L) is charged with Vl(L) of a liquid, B. The space above the liquid (volume Vg Vt Vl) is filled with a pure gas, A, at an initial pressure P0atm. The initial system temperature is T0K. The stirrer in the tank is turned on, and A begins to dissolve in B. The dissolution continues until the liquid is saturated with A at the final system temperature (T) and pressure (P). The equilibrium solubility of A in B is governed by the following expression, which relates the molar A/B ratio in the liquid to the partial pressure of A in the gas phase (which in turn equals the pressure in the tank, since the gas is pure A): rmol A/mol B kspAatm where ksmol A/mol Batm c0 c1TK When performing the requested calculations, use the following variable definitions: MA; MB = molecular weights of A and B CvA, CvB, CvS[J/(gK)] = constant-volume heat capacities of A(g), B(l), and solutions of A in B, respectively Adapted from Stephanie Farrell, Mariano J. Savelski, and C. Stewart Slater (2010). Integrating Pharmaceutical Concepts into Introductory Chemical Engineering CoursesPart I, http://pharmahub.org/resources/360. 490 CHAPTER 8 Balances on Nonreactive Processes WEBC08 06/04/2015 22:38:28 Page 492 Enter the formulas in the cells for Vl 3:0 L, T0 300 K, and P0 10:0 atm, and verify that your cell values match those shown above. Then find the correct value of T using the procedure just described, copy the formulas into the other rows of the table, and determine T for each set of initial conditions. Summarize the effects of the initial temperature and pressure on the adiabatic temperature rise and briefly explain why your results make sense.