Q2: The level in a tank responds as a first order system with changes in the inlet flow. Given the following level vs. time data that was gathered after the inlet flow was increased quickly from 1.5 gal/min to 4.8 gal/min, determine the transfer function that relates the height in the tank to the inlet flow. Be sure to use deviation variables and include units on the steady state gain and the time constant. Time (min) Level (ft) Time (min) Level (ft) Time (min) Level (ft) 0 5 1.2423 8.9354 2.4847 11.4513 0.138 5.3673 1.3804 0.2761 5.9041 1.5184 0.4141 6.412 1.6564 0.5521 6.8927 1.7945 0.6902 7.3475 1.9325 0.8282 7.7779 2.0705 0.9663 8.1852 2.2086 1.1043 8.5706 2.3466 9.2805 2.6227 11.6612 9.6071 2.7607 11.8599 9.9161 10.2085 14.3558 15.3261 10.4853 14.4938 15.328 10.7471 14.6319 15.3297 10.9949 14.7699 15.3313 11.2294