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4 April, 08:00

Two pots are identical except that the flat bottom of one is aluminum, whereas that of the other is copper. Water in these pots is boiling away at 100.0 ˚C at the same rate. The temperature of the heating element on which the aluminum bottom is sitting is 161 ˚C. Assume that heat enters the water only through the bottoms of the pots and find the temperature of the heating element on which the copper bottom rests.

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  1. 4 April, 08:21
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    Rate of flow of heat = K X (t₂ - t₁) xA/L

    K is thermal conductivity, t₂ - t₁ = temperature difference, A is area of surface and L is thickness of separating medium

    In the given case only K and t₂ are different, otherwise all others are equal.

    So

    Since rate of heat flow are equal

    K₁ X (t-100) = K₂ X (161 - 100)

    t is temperature of source of heat near copper bottom.

    K₁ and K₂ are thermal conductivity of copper and aluminium.

    K₁ / K₂ = 61 / (t - 100)

    385/205 = 61/t - 100

    385t - 38500 = 12505

    385t = 51005

    t = 133.77 C.
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