A thermometer follows first order dynamics with a time constant of 0.2 min. it is placed in a temperature bath at 100°C and is allowed to reach steady state. Its suddenly transferred to another bath at 150°C at time t=0 and is left there for 0.2 min. it is immediately returned to the original bath at 100°C. Calculate the thermometer reading at time t=0.1 min and 0.4 min.
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