A Manager asked you to construct a mathematical model for a shell and tube heat exchanger to check if the existing heat exchangers are over design or under design for the following cases: Case A: A crude oil is heated using superheated steam and there is a possibility of the steam to be condensed. Case B: A crude oil is heated using superheated steam and there is no possibility of the steam to be condensed. (i) Draw Schematic diagram and label all streams (ii) Which route of each fluid you suggest and why? (iii) Which case is lumped or distributed model? and why? (iv) Write the mathematical model (v) Suggest strategy for solution for each case (vi) What is the design parameter? [3 marks] [3 marks] [4 marks] [7 marks] [6 marks] [2 marks]