Q4: A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100 °F. After the thermometer reaches steady state, it is suddenly placed in a bath at 110 °F at t = 0 and left there for 1 min, after which it is immediately returned to the bath at 100 °F. (a) Draw a sketch showing the variation of the thermometer reading with time. (b) Calculate the thermometer reading at t = 0.5 min and at t = 2.0 min.