A well-mixed cement-lined storage tank contains water initially at 50°C. The water loses energy to its surroundings via conduction through the tank's concrete-lined walls. The tank sits in an unheated warehouse with an air temperature of 0°C. A diagram of the storage tank is shown below. The cement lining is 1.5-cm thick and has a thermal conductivity (htc) of 2.0 W/(m K). height = 1.5 m diameter = 2.0 m a. How long will it take (in minutes) for the water to cool to 40°C?

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.12P
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3. A well-mixed cement-lined storage tank contains water initially at 50°C. The water loses
energy to its surroundings via conduction through the tank's concrete-lined walls. The
tank sits in an unheated warehouse with an air temperature of 0°C.
A diagram of the storage tank is shown below. The cement lining is 1.5-cm thick and has
a thermal conductivity (htc) of 2.0 W/(m K).
height = 1.5 m
diameter = 2.0 m
a. How long will it take (in minutes) for the water to cool to 40°C?
b. Why might you be over- or underestimating the time it will take to cool the
contents of the reactor?
Transcribed Image Text:3. A well-mixed cement-lined storage tank contains water initially at 50°C. The water loses energy to its surroundings via conduction through the tank's concrete-lined walls. The tank sits in an unheated warehouse with an air temperature of 0°C. A diagram of the storage tank is shown below. The cement lining is 1.5-cm thick and has a thermal conductivity (htc) of 2.0 W/(m K). height = 1.5 m diameter = 2.0 m a. How long will it take (in minutes) for the water to cool to 40°C? b. Why might you be over- or underestimating the time it will take to cool the contents of the reactor?
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