The 8-mm-thick bottom of a 220-mm-diameter pan may be made from aluminum (k = 240 w/m ⋅ k) or copper (k = 390 w/m ⋅ k). when used to boil water, the surface of the bottom exposed to the water is nominally at 110°c. if heat is transferred from the stove to the pan at a rate of 600 w, what is the temperature of the surface in contact with the stove for each of the two materials?

For aluminum 110.53 C

For copper 110.32 C

Explanation:

Heat transmission through a plate (considering it as an infinite plate, as in omitting the effects at the borders) follows this equation:

Where

q: heat transferred

k: conduction coeficient

A: surface area

th: hot temperature

tc: cold temperature

d: thickness of the plate

Rearranging the terms:

d * q = k * A * (th - tc)

The surface area is:

If the pan is aluminum:

If the pan is copper:

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