Example 1.10: An irreversible reaction is carried out in a back-mixed reactor at 300 °C. Concentration of A in the feed is 2.2 lbmol/ft³. The reactor volume is 3.0 ft³. A number of experiments result in the following set of data. Estimate the value of k for the first order reaction kinetics.

υo/(ft^3/s)	0.003	0.006	0.009	0.012	0.015	0.018
CA/(lbmol/ft^3)	0.263	0.469	0.636	0.773	0.889	0.987

Solution

First-order, constant density, mixed reactor

C_Ao = 2.2 lbmol/ft³

1. Equation (1.69) First order constant density mixed flow reactor

υo/(ft^3/s)	CA/ (lbmol/ft^3)	Y = (CAo - CA)/CA	X = tm = V/υo
0.003	0.263	7.38	1000
0.006	0.469	3.69	500
0.009	0.636	2.46	333.3
0.012	0.773	1.845	250
0.015	0.889	1.476	200
0.018	0.987	1.23	166.7

C Slope, k = 0.00738 s^-1