Component A is converted to component B in non-isothermal jacketed CSTR. The irreversible endothermic chemical reaction that occurred in the CSTR is shown below: 2AkB The reaction is second order with respect to A. Given that k is the specific rate of reaction at the and is the specific heat of reaction for the said reaction. Figure 1 below shows the schematic diagram of the reactor. The feed stream consists of only component A is charged to the reactor at a flow rate of F0 (m3/min), the concentration of A,CAO(kg/m3), the density of (kg/m3), and temperature of T (K). Meanwhile, the stream exiting the CSTR is given at a flow rate of F(m3/min), the concentration of A, CA(kg/m3), concentration of B,CB(kg/m3), density of (kg/m3), and temperature of T(K). The reactor is a perfectly mixed system with a variable hold-up volume V(m3). The reactor has an initial volume of V(m3). A heating jacket was fitted to the CSTR to supply heat for the reaction. Hot oil was supplied to the jacket at a flow rate of Fj,O(m3/min), the density of j,O(kg/m3), and temperature of Tj,O(K). Meanwhile, Tj,exitis is the exit temperature of the hot oil. The inlet and outlet flow rate as well as density can be assumed as constant. The volume of the jacket is given as Vj(m3) and the heat capacity of the hot oil is given as cp.j(kJ/mol.K). For better estimation, the jacket system is assumed to be a plug flow system whereby the temperature of the hot oil in the jacket is given by Tj,A(K) and it is an average between the inlet and outlet temperature of the jacket. A) Develop the energy balance for the process fluid if the metal heat capacity is significant. Assume the heat capacity of components A and B are equal and constant, and the temperature of the metal is given by TM(K). Select one: a. dtdT=(FOF)t+VOFO(TOT)+cpk(CA)2+cp[(FOF)t+VO]hiAi(TMT) b. dtdT=(FOF)t+VOFO(TOT)+cp2k(CA)2hiAi(TMT) c. dtdT=(FOF)t+VOFO(TOT)+cp2k(CA)2+cp[(FOF)t+VO]hiAi(TTM) d. dtdT=FOTOFT+cpk(CA)2+VcphiAi(TMT)