# Question: derive a design equation for a plug flow reactor effluent...

###### Question details

Derive a design equation for a plug flow reactor (effluent
concentration, C_{e}, as a function of known parameters)
with first order kinetics (r = -kC) using a mass balance on a
differential control volume. Assume the following parameters are
given: total volume (V), reactor length (L), cross sectional area
(A), flow rate (Q), influent concentration (C_{0}), rate
constant (k).