In: Chemistry
Consider a CSTR used to carry out a reversible isomerization reaction (A↔B) where both the forward and reverse reactions are first-order. Feed is pure A and the reaction is assumed to be elementary. CPa =1255 J/moleºK CPb = 1172 J/moleºK kf = 8.83 x 104 e –6290/T sec-1 kr = 4.17 x 1015 e –14947/T sec-1 where T is in degrees Kelvin (a) Is the reaction exothermic or endothermic? What is the standard enthalpy change for the reaction? (b) What is the equilibrium fraction conversion at 340ºK? (c) What conversion is achieved if t = 480 sec and the reactor temperature is 340ºK? (d) For t = 480 sec, sketch the curve of fraction conversion versus reactor temperature over the range 320 to 370ºK. (e) Derive the equation for the curve describing the energy balance on the CSTR for adiabatic operation. Substitute variables into this expression to obtain a relation between X, Tinlet , and Toutlet. (f) In order to maximize production of B when t = 480 sec, what inlet temperature should be specified?