Consecutive first-order reactions take place in a batch reactor. B is the desired product, while C is the undesired product. The reactor is supplied with a jacket surrounding the reactor to ensure a high yield of product B and to control the undesired product C formation. The jacket is equipped with both steam and cooling water inlets and cooling water and condensate outlets, respectively. Steam is fed into the jacket to increase the reactant temperature to its desired temperature. To control the production of undesired product C, the steam feed is stopped, and the cooling water is added to the jacket to remove the exothermic heat of the reaction. Figure 1 shows the diagram of the batch reactor: Assume the flow rate of the cooling water, Fj and volume of the reactor, V, are constant, and the inlet and outlet temperature of the cooling jacket denote as Tj0 and Tj,out, develop energy equation for the cooling phase of the jacket by using a perfectly mixed cooling jacket model. Assume that the metal wall heat capacity is negligible. Select one: a. JACpJAVdtdTjA=JACpJAFJ(TJ0TJ,out)+UAH(TMTJ,out) b. JVJCJdtdTJ=FJJCJ(TJ0TJ)+UAH(TTJ) c. JACpJAVdtdTjA=JACpJAFJ(TJ0TJA)+UAH(TMTJA) d. JACpJAdtd(VTjA)=JACpJAFJ(TJ0TJA)+UAH(TMTJA)