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A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100F. After the thermometer reaches steady

A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100F. After the thermometer reaches steady state, it is suddenly placed in a bath at 110F at t =0 and left there for 26 seconds, after which it is immediately returned to the bath at 100F. Calculate the thermometer reading at t = 77 seconds.

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