The first-order reaction A → B with k = 0.8 min–1 is carried out in a real reactor with the following RTD function:

The Hemi or half circle curve is drawn touching the horizontal axis between the interval 0 to 2 Tau with its peak marked at tau from the horizontal axis. The radius of the Hemi circle equals Tau. Mathematically, this hemi circle is described by the equations for 2τ ≥ t ≥ 0 then
E(t)=τ2−(t−τ)2 min−1(hemi circle) For t > 2τ, then E(t) = 0.
a. What is the mean residence time?
b. What is the variance?
c. What is the conversion predicted by the segregation model?
d. What is the conversion predicted by the maximum mixedness model?
e. What is the conversion predicted by the tanks-in-series model?

Transcribed Image Text:

E(t) min-1 0 T hemi (half) circle 2T t, min