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ObliviousSage
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Homework Statement
A copper rod 90cm long is used to poke a fire. The hot end of the rod is maintained at 103 degrees Celsius and the cool end has a constant temperature of 25C. What is the temperature of the rod 24cm from the cool end?
specific heat of copper: c = 387 J/kg*K
thermal conductivity of copper: k = 395 W/m*K
thermal expansion coefficient of copper: [tex]\alpha[/tex] = 17*10-6 1/K
Homework Equations
conduction: Q = kAt[tex]\Delta[/tex]T/L
linear expansion: [tex]\Delta[/tex]L = [tex]\alpha[/tex]L0[tex]\Delta[/tex]T
heat: Q = mc[tex]\Delta[/tex]T
The Attempt at a Solution
I'm not even sure where to begin. The three equations in this chapter that might be relevant are given, but I can't see any way to apply them. It seems like conduction has to be involved, but I can't figure out what happened to the area and time terms.