The following data were observed in a step response experiment of a thermometer is under a step input from 0 degress C (at t=0) to 70 degress C at (t>0) 0 0 10 44.24 20 60.55 Assume the thermometer is a first order instrument with a static sensitivity (K) of 1 unit, derive the following: a.) Differential equation between input and output of the thermometer. B.) Compute the output temperature after 25 seconds.