The elementary reversible liquid-phase reactionA ⇄ Btakes place in a CSTR with a heat exch...

The elementary reversible liquid-phase reaction

A ⇄ B

takes place in a CSTR with a heat exchanger. Pure A enters the reactor.

(a) Derive an expression (or set of expressions) to calculate G(T) as a function of heat of reaction, equilibrium constant, temperature, and so on. Show a sample calculation for G(T) at T = 400 K.

(b) What are the steady-state temperatures?

(c) Which steady states are locally stable?

(d) What is the conversion corresponding to the upper steady state?

(e) Vary the ambient temperature Ta and make a plot of the reactor temperature as a function of Ta, identifying the ignition and extinction temperatures.

(f) If the heat exchanger in the reactor suddenly fails (i.e., UA = 0), what would be the conversion and the reactor temperature when the new upper steady state is reached?

(g) What heat exchanger product, UA, will give the maximum conversion?

(h) Write a question that requires critical thinking and then explain why your question requires critical thinking. [Hint: See Preface Section B.2.]

(i) What is the adiabatic blowout flow rate, v0 ?

(j) Suppose that you want to operate at the lower steady state. What parameter values would you suggest to prevent runaway?

Additional information:

Ambient temperature, Ta = 37 °C Feed temperature, Ta = 37 °C P8-19c