The first order exothermic liquid-phase reactionA → Bis carried out in a jacketed 0.2-m3 C...

The first order exothermic liquid-phase reaction

A → B

is carried out in a jacketed 0.2-m3 CSTR. The coolant temperature in the reactor is 32 °F. The heat-transfer coefficient is 120 W/m2-K. Determine the critical value of the heat-transfer area below which the reaction will run away and the reactor will explode [Chem. Eng., 9/(10), 54 (1984)].

Additional information:

Specific reaction rate:

The heat capacity of the solution is 20 J/g’K. The solution density is 0.90 kg/dm3. The heat of reaction is —2500 J/g. The feed temperature is 40 °C and the feed rate is 90 kg/min. MW of A = 90 g/mol. CA0 = 2 M.