A square steel bar of side length w = 0.14 m has a thermal conductivity of k = 1

Question

A square steel bar of side length w = 0.14 m has a thermal conductivity of k = 14.8 J/(s middot m middot degree C) and is L = 1.8 m long. Once end is placed under a candle so that the temperature is T_1 = 77 degree C while the other end rests on a block of ice so that the temperature is a constant T_2. Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w^2 as the cross-sectional area of the bar. How much energy, in joules, was conducted in 1 hour, assuming T_2 = 0 degree C? Input an expression for the heat transferred in 1 hour using Q_1 from above and L_f the latest heat of fusion. M_w = ____

Explanation / Answer

heat transferred Q = K*w^2*(T1-T2)*t/L

part (b)

time t = 1 hour = 3600 s

heat conducted Q = 14.8*0.14^2*(77-0)*3600/1.8 = 44672.32 J

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part (c)

heat transferred = heat absorbed by ice

Q1 = mw*Lf

mw = Q1/Lf <<<<-------answer

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