A double pipe heat exchanger increases the temperature of a process stream by exchanging heat with a hot stream coming from a heating tank. When the heating load of the coil immersed in the heating tank increased from 1500 to 1516 cal s?, the process stream temperature reacted as shown in Figure 1. 12.7 11.2 M T(C) 8 2.3 Time (s) Figure 1. The dynamic response of process stream temperature to step change of magnitude 16 in the heating load of the coil immersed in the heating tank. (a) Develop a transfer function to describe the response in Figure 1 along with its parameters. (7 marks) (b) Propose an equivalent expression to the developed transfer function in time domain