The 5-mm-thick bottom of a 200-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?

Explanation:

Conduction of heat per second Q  through a metal sheet having thermal conductivity K , thickness d , area A and temperature difference between cold and hot surface ( T₂ -T₁ ) is given by the following equation

Q =

Area A = π R² = 3.14 X 10000 X 10⁻⁶

= 3.14 X 10⁻2 m²

For aluminium plate :-

T₂ - T₁ =

=

T₂ - T₁ = .4

T₂ = 110.4 ° C

For copper plate :

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T₂ - T₁ = .25

T₂ = 110.25 ° C

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