Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0 is placed in a temperature bath (25 °C). After the thermometer comes to equilibrium with the bath, the temperature of the...

Extracted text: Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0 is placed in a temperature bath (25 °C). After the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly %3D at a rate of 1/min. (a) What is the difference between the measured temperature Tm and the bath temperature T at t = 0.1 min and t = 1.0 min after the change in temperature? (b) What is the maximum deviation between Tm(t) and T(t)? When does it occur? (c) For large values of t, determine the time lag between Tm and T.