Consider the following dynamic temperature data from a 4-cell DMFC in the University of Florida laboratory facility. The cathode inlet temperature and flowrate are 23C and 13 SLPM or L/min. In Figure 1, there is a step change (at 3141.7 s) in the cathode flowrate, which is assumed to be uniform throughout the cathode flow pathway or channels in the fuel cell. Due to the step change, the cathode outlet temperature response is measured as shown in Figure 2, where horizontal minor gridline is 20 s apart and major gridline is 100 s apart. Assume a time delay of 1 second. Assume the temperature reaches steady state based on the average of the last 10 data points or the last data point. a. Estimate the process gain in C/(L/min) and time constant in min of the step response using graphical approach. b. Show the equations in canonical form (Laplace domain) and in time domain including time constant and process gain. Hint: If you hover over each data point, you can see the values for time and temperature or flow rate. Cathode (Air) Inlet Flowrate (SLPM) 14 13 876543210 3130 3330 3530 3730 3930 4130 4330 Time (s) Figure 1. Step input of cathode air flow rate