Problem 2) [40 pts] Water is to be continuously heated with heating oil in a well-stirred tank enclosed by a heating jacket (shown in the scheme ). The water enters the tank at a flow rate of 10L/min and a temperature (TIF) of 15C. It must be heated to an exit temperature (Tl) of 85C by the heating oil, which is fed into the jacket at a temperature (T2F) of 110 C. The overall heat transfer coefficient (U) is reported to be 300 W/m2C, and the heat capacity and density of the oil are 2,100J/kgK and 850kg/m3 respectively. Based on this information, please do the following: (a) [10pts] Determine the minimal oil mass flow rate (m2,MIN) required to perform this operation. (b) [10pts] It is proposed to operate the heat exchanger at an oil mass flow rate of twice m2,MIN. What will be the thermal contact area (i.e., heat transfer area, A ) required, assuming that the oil inside the jacket exhibits well-mixed fluid motion? (c) [10 pts] What will be the thermal contact area (i.e., heat transfer area, that the oil inside the jacket exhibits plug-flow fluid motion? (d) [5 pts] Realistically, neither the well-mixed nor the plug-flow models of the fluid motion inside this jacket. Why might your answers to Pa. problem still be useful? (e) [5 pts] Your colleague now proposes to flow the oil at the at an m2 val high as m2,MIN. What might be the economic advantage of this approa safety concern? Note: you may assume that the process equipment higher flow oil flow rate without leaking or frequently breaking down