3. Consider the figure shown: Initially the first and the second tanks contain 500 kg and 400 kg of oil respectively. T:(0) =120 C and T2(0) =200 C. An endothermic reaction is taking place in the second tank only with AH =+60 e 902 where AHan is the heat of reaction in kj/min and tis in minutes. If both tanks are well-stirred and well-insulated with CP=2.5 kj/kg C a) Drive diff equations giving T and Twith time. (5 p) b) Eliminate Ty to find 2 order diff egn in T. (5 p) Solve the order diff egn in Ty to find Tuf(t) (10) d) Find T, when T,=145 C (5) 4 kg/min c) T: Ta 4 kg/min 3. Consider the figure shown: Initially the first and the second tanks contain 500 kg and 400 kg of oil respectively. T:(0) =120 C and T2(0) =200 C. An endothermic reaction is taking place in the second tank only with AH =+60 e 902 where AHan is the heat of reaction in kj/min and tis in minutes. If both tanks are well-stirred and well-insulated with CP=2.5 kj/kg C a) Drive diff equations giving T and Twith time. (5 p) b) Eliminate Ty to find 2 order diff egn in T. (5 p) Solve the order diff egn in Ty to find Tuf(t) (10) d) Find T, when T,=145 C (5) 4 kg/min c) T: Ta 4 kg/min