3. The elementary reversible liquid-phase reaction, AB, 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. (b) What are the steady state temperatures? (Ans: 310, 377, 418K ) (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: 431K) Additional Information: CPA=CPB=40cal/molKUA=3600cal/minKHRx=80,000cal/molAKeq=100at400Kk=1min1at400KTa=37CV=10dm3E/R=20,000KV0=1dm3/minFAO=10mol/minT0=37C