A 1000 W household iron has a total ironing area of 160 cm2. The thickness of the ironing plate is 5 mm. All the electrical power is converted to heat and transferred to the ironing plate through its inner surface (the one not used to iron your clothing). Consider the iron is held so that the ironing surface is in contact with air in a room where the ambient temperature is 25°C. The local heat transfer coefficient between the ironing plate and the air is 15 W/m² -K. Assume that the thermal conductivity of the ironing plate is 0.67 W/cm-K. a. Obtain an expression for the heat flux through the iron plate. b. Obtain an expression for the temperature profile in the plate. c. Calculate the highest and lowest temperature in the plate. d. Do you think the ironing surface temperature is real? e. Report the specification of a real iron and see if the data used in the problem is reasonable. f. Solve the problem again with the data you found. g. For the results with the new data, is the ironing surface temperature reasonable? If not, what assumptions in our model might be the reason for the poor match with reality?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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A 1000 W household iron has a total ironing
area of 160 cm². The thickness of the ironing
plate is 5 mm. All the electrical power is
converted to heat and transferred to the ironing
plate through its inner surface (the one not used
to iron your clothing).
Consider the iron is held so that the ironing
surface is in contact with air in a room where the
ambient temperature is 25°C. The local heat
transfer coefficient between the ironing plate
and the air is 15 W/m2 -K. Assume that the
thermal conductivity of the ironing plate is 0.67
W/cm-K.
a. Obtain an expression for the heat flux through
the iron plate.
b. Obtain an expression for the temperature
profile in the plate.
c. Calculate the highest and lowest temperature
in the plate.
d. Do you think the ironing surface temperature
is real?
e. Report the specification of a real iron and see
if the data used in the problem is reasonable.
f. Solve the problem again with the data you
found.
g. For the results with the new data, is the
ironing surface temperature reasonable? If not,
what assumptions in our model might be the
reason for the poor match with reality?
Transcribed Image Text:A 1000 W household iron has a total ironing area of 160 cm². The thickness of the ironing plate is 5 mm. All the electrical power is converted to heat and transferred to the ironing plate through its inner surface (the one not used to iron your clothing). Consider the iron is held so that the ironing surface is in contact with air in a room where the ambient temperature is 25°C. The local heat transfer coefficient between the ironing plate and the air is 15 W/m2 -K. Assume that the thermal conductivity of the ironing plate is 0.67 W/cm-K. a. Obtain an expression for the heat flux through the iron plate. b. Obtain an expression for the temperature profile in the plate. c. Calculate the highest and lowest temperature in the plate. d. Do you think the ironing surface temperature is real? e. Report the specification of a real iron and see if the data used in the problem is reasonable. f. Solve the problem again with the data you found. g. For the results with the new data, is the ironing surface temperature reasonable? If not, what assumptions in our model might be the reason for the poor match with reality?
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