furnace is to be cooled down from $1100C$ to $180C$ using a heat exchanger before it can be fed into the reactor. As a process engineer, you are needed to design the most economical heat exchanger for the process as shown in Figure $1.$

i$.$ Assumption of Design Concept

a$)$ State all the assumptions during selecting the material of construction for the heat exchanger. Give reasons for all assumptions that you have made.

b$)$ State all the assumptions needed in choosing the type of heat exchanger to be designed. Give reasons for all assumptions that you have made.

c$)$ State all the assumptions needed for all the calculations involved during the chemical design of the heat exchanger. Give reasons for all assumptions that you have made.

ii$.$ Chemical Design of Heat Exchanger

a$)$ Calculate the log mean temperature difference for the proposed heat exchanger.

b$)$ Perform the detailed chemical design of your heat exchanger.

c$)$ Produce a drawing of your heat exchanger using AUTOCAD.

iii. Justify the feasibility of your design. Also, highlight any special feature that you may have added into your design with justification.