Problem 2.10. Irreversible reactions in a non-isothermal CSTR.

Irreversible consecutive reactions A B C occur in a jacketed, stirred-tank reactor as shown in Figure E2.10. Derive a dynamic model based on the following assumptions:

The contents of the tank and cooing jacket are well mixed. The volumes of the material in the jacket and in the tank do not vary with time.

The reaction rates are given by

R₁ = k₁e^-E₁^/RT_CA [=]mol A/h L

R₂ = k₂e^-E₂^/RT_CB [=]mol A/h L

The thermal capacitances of the tank contents and the jacket contents are significant relative to the thermal capacitances of the jacket and tank walls, which can be neglected.

Constant physical properties and heat transfer coefficients can be assumed