A square steel bar of side length w = 0.13 m has a thermal conductivity of k = 14 J/(s⋅m⋅°C) and is L = 2.1 m long. One end is placed near a blowtorch so that the temperature is T1 = 78° C while the other end rests on a block of ice so that the temperature is a constant T2.   (a) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w2 as the cross-sectional area of the bar.  (b) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0° C?  (c) Input an expression for the mass of the water melted in 1 hour using Q1 from above and Lf the latent heat of fusion.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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A square steel bar of side length w = 0.13 m has a thermal conductivity of k = 14 J/(s⋅m⋅°C) and is L = 2.1 m long. One end is placed near a blowtorch so that the temperature is T1 = 78° C while the other end rests on a block of ice so that the temperature is a constant T2.

 

(a) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w2 as the cross-sectional area of the bar. 

(b) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0° C? 

(c) Input an expression for the mass of the water melted in 1 hour using Q1 from above and Lf the latent heat of fusion. 

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