The first-order, irreversible, exothermic liquid-phase reaction A → B is to be carried out in a jacketed CSTR. Species A and an inert I are fed to the reactor in equimolar amounts. The molar feed rate of A is 80 mol/min.
Additional information:
Heat capacity of the inert: 30 cal/mol⋅∘Cτ=100 minHeat capacity of A and B: 20 cal/mol⋅∘CΔHRx∘=−7500 cal/molUA: 8000 cal/min⋅∘Ck=6.6×10−3min−1at 350 KAmbient temperature, Ta:300 KE=40000 cal/mol⋅K
(a) What is the reactor temperature for a feed temperature of 450 K?
(b) Plot and then analyze the reactor temperature as a function of the feed temperature.
(c) To what inlet temperature must the fluid be preheated for the reactor to operate at a high conversion? What are the corresponding temperature and conversion of the fluid in the CSTR at this inlet temperature?
(d) Suppose that the fluid inlet temperature is now heated 5°C above the reactor temperature in part (c) and then cooled 20°C, where it remains. What will be the conversion?
(e) What is the inlet extinction temperature for this reaction system?