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An electric kitchen range has a total wall area of 1.40 m2

Chapter 17, Problem 66E

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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?

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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 .

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