Revisit Problem P16-3 where the RTD function is a hemicircle. The liquid-phase reaction is first order with

Question:

Revisit Problem P16-3 where the RTD function is a hemicircle. The liquid-phase reaction is first order with k1 = 0.8 min^–1. What is the conversion predicted by
a. The tanks-in-series model?
b. The dispersion model?

Problem P16-3

Consider the E(t) curve below. E(t) min-1 0 T Hemi (half) circle 20 t, min

A graph is shown, with t (in minutes) on horizontal axis and E of t (minutes inverse) on vertical axis. A hemi (half) circular curve starts at the origin and ends at 2 tau on the horizontal axis. It is symmetric about the vertical line at tau. Mathematically this hemi circle is described by these equations: For 212 t 0, then For t> 21, then E(t) = 0 E(t)=12-(t-1)2 min-1 (hemi circle)