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? [Ans.: 310, 377, 418 K.] (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? [Ans.: 431 K.] (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, u0 ? (j) Suppose that you want to operate at the lower steady state. What parameter values would you suggest to prevent runaway, e.g., the upper SS? Additional information UA 3600 cal/min K E/R 20,000 K CP = CPB =40 cal/mol K V = 10 dm³ vo 1 dm³/min FAO 10 mol/min AH-80,000 cal/mol A Ke 100 at 400 K k 1 min at 400 K Ambient temperature, T, = 37°C Feed temperature. T₁ = 37°C