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An electric kitchen range has a total wall area of 1.40 m2
Chapter 17, Problem 66E(choose chapter or problem)
An electric kitchen range has a total wall area of \(1.40\ \text{m}^2\) and is insulated with a layer of fiberglass 4.00 cm thick. The inside surface of the fiberglass has a temperature of \(175^{\circ}\text{C}\), and its outside surface is at \(35^{\circ}\text{C}\). The fiberglass has a thermal conductivity of \(0.04\ \text{W/m}\cdot \text{K}\).
(a) What is the heat current through the insulation, assuming it may be treated as a flat slab with an area of \(1.40\ \text{m}^2\)?
(b) What electric-power input to the heating element is required to maintain this temperature?
Questions & Answers
QUESTION:
An electric kitchen range has a total wall area of \(1.40\ \text{m}^2\) and is insulated with a layer of fiberglass 4.00 cm thick. The inside surface of the fiberglass has a temperature of \(175^{\circ}\text{C}\), and its outside surface is at \(35^{\circ}\text{C}\). The fiberglass has a thermal conductivity of \(0.04\ \text{W/m}\cdot \text{K}\).
(a) What is the heat current through the insulation, assuming it may be treated as a flat slab with an area of \(1.40\ \text{m}^2\)?
(b) What electric-power input to the heating element is required to maintain this temperature?
ANSWER:
Step 1 of 3
Given data:
The total area of the wall is .
The thickness of the glass is .
The temperature of the inside surface of fiberglass is .
The temperature of the outside surface of fiberglass is .
The thermal conductivity of the glass is .