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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
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 T0 (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 V0(m3). A heating jacket was fitted to the CSTR to supply heat for the reaction. Hot oil was supplied to the jacket at a fiow rate of F1,0(m3/min), the density of i,(kg/m3), and temperature of T10(K). Meanwhile, Tjext 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 Vi(m3) and the heat capacity of the hot oil is given as c..j (kJ/molK). 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 TiA(K) and it is an average between the inlet and outlet temperature of the jacket. A) Develop the component continuity equation for component A (5 marks) Select one: a. dtdCA=(FOF)t+VOFO(CAOCA)kV(CA)2 b. dtdCA=VFOCAOFCAkV(CA)2 c. dtdCA=(FoF)t+VoFO(CAOCA)k(CA)2 d. dtdCA=VFOCAOFCA2k(CA)2
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