Bioprocess Engineering 2nd Edition by Fikret Kargi,Michael Shuler

Exercise 3

Consider Fig. 9.9, which applies to a fed-batch system. Assume at t = 0, V = 100 l, X = 2 g/l,
m = 1 h-1, S0 = 4 g/l, and S = 0.01 g/l. V is increased at a constant rate such that dV/dt = 20 l/h
= F (or flow rate) and X is constant at all times.
a. Derive a formula to relate m to V and dV/dt.
b. What is m at t = 5 h?