Repeat the calculation in Problem 10.3 with the assumption that the heat capacity of liquid toluene is constant, using the values at

(a) 10◦C;

(b) 35◦C;

(c) 60◦C. How large is the error in each case? Give a quantitative explanation to the answer to part (b).

Problem 10.3

The data in Table 10.P2 are from a batch experiment measuring the distribution of octanoic acid between an aqueous phase consisting of a solution of corn syrup in water and an organic xylene phase. The aqueous phase was continuous, and the concentration in the aqueous phase was measured with a calibrated conductivity probe. Initially, 2 L of the aqueous phase was placed in a tank with 0.2 L of xylene and agitated until the drop size of the dispersed organic phase had equilibrated. 0.25 L of an aqueous phase containing octanoic acid was then added and the concentration in the continuous phase was recorded as a function of time. Determine K_ma and compare to the value of 75 cm³/s reported by the authors of the original article.

Transcribed Image Text:

Table 10.P2. Concentration of octanoic acid in aqueous phase. Data of J. H. Rushton, S. Nagata, and T. B. Rooney, AIChE J., 10, 298-302 (1964). t (s) 0 10 20 30 40 60 80 120 ∞ CA¹ x 104 (g-mol octanoic acid/L) 2.75 2.13 1.72 1.45 1.23 1.03 0.94 0.83 0.78