4.3. A thermometer having first-order dynamic min is placed in a temperature bath at 100 reaches steady state, it is suddenly placed in left there for 1 min, after which it is immedia 100°F. a. Draw a sketch showing the variation of the time. b. Calculate the thermometer reading at t = 0.5

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4.3. 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.
Transcribed Image Text:4.3. 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.
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