How Does Copper's Thermal Conductivity Affect Heat Transfer?

AI Thread Summary
The discussion revolves around calculating heat conduction through a copper bar with a thermal conductivity of 401 W/(m·K). The key questions include determining the rate of heat conduction, the temperature gradient, and the effects of placing two bars in series or parallel. A participant initially miscalculated the heat conduction rate due to an error in applying the temperature difference in the formula. The correct approach emphasizes using the temperature difference accurately to solve for the rate of heat transfer and related parameters. Proper understanding of thermal conductivity and its implications on heat transfer is crucial for solving these problems.
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Homework Statement


A copper bar of thermal conductivity 401 W/(m·K) has one end at 102°C and the other end at 23°C. The length of the bar is 0.10 m and the cross sectional area is 1.0 multiplied by 10-6 m2.
(a) What is the rate of heat conduction along the bar?

(b) What is the temperature gradient in the bar?

(c) If two such bars were placed in series (end to end) between the same temperature baths, what would script p be?

(d) If two such bars were placed in parallel (side by side) with the ends in the same temperature baths, what would script p be?

(e) In the series case, what is the temperature at the junction where the bars meet?


Homework Equations


P=KA(deltaT/d)


The Attempt at a Solution


I'm stuck on part (a). I used the above equation and got: (401)(1x10^-6)(102+23/.1)=.50125 which is apparently wrong.
 
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Did you plug in the correct value for delta T?Delta T should be the temperature difference.
 
opps...yeah that was suppose to be a negative sign. Thanks
 
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