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Problem 2. CSTR with a Heater
An exothermic reaction, A→ B, shows half-order kinetics, r = kCAC5, with a linear
temperature dependence, k = a + BT.
a) Write down the non-steady state material and energy balances for a CSTR that has
an electric heater. The inlet temperature and concentration to the reactor are T, and
CAo; the volumetric flow rate is Q; and the reactor volume is V. The electric heater
adds a constant power, P, to the reactor that is independent of the fluid temperature.
Define any other parameters you need.
b) Write down the equations that need to be solved to determine the steady-state
solutions (e.g. If there are 3 equations that need to be solved to determine three
unknowns, make it clear what the equations and unknowns are.)
c) Assuming that you have calculated the steady-state solutions, determine the criteria
that would need to be met for a steady-state solution to be stable.
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