Question: 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

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 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 T_m (t) and T (t)? When does it occur?

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a At time 0 T m 0 and T0 are the same which is t 0 Then T bath temperature follows a ramp T t t T 0 ... View full answer

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