Draw the temperature versus distance graph

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The discussion focuses on drawing a temperature versus distance graph for two materials with differing thermal conductivities, specifically between 23 K and 200 K. It is noted that the graph will show a linear decrease in temperature for each material, with varying slopes corresponding to their thermal conductivities. A relationship between the slope of the graph and the thermal conductivities is implied, prompting a request for clarification on this connection. The user is also curious if the graph can be constructed without prior calculations, indicating a desire for a conceptual understanding. Ultimately, the exchange leads to a realization about the importance of the thermal conductivity definition in solving the problem.
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Hello, I have two materials with different thermal conductivity.
http://img4.imageshack.us/my.php?image=heat.png

I am supposed to draw the temperature vs. distance graph between 23 K and 200K. I assume that in it is a linear decrease if you look at only one of the materials, but they have different slopes because of the different thermal conductivity properties? Is there a easy way to relate the slope to the thermal conductivities?

PS:

Later in the assignment I am supposed to calculate the temperatures where the materials meet. If I do this first, this would answer my question. But I am wondering if you can draw this without doing any calculations?
 
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any ideas? you need to provide your attempt at a solution, see the template
 
lanedance:

If you read my post you will see that my question is allmost a yes or no question.
 
yes,
 
do you know have the definition of thermal conductivity is?

should be a big hint there if you write out the equation...
 
"should be a big hint there if you write out the equation... "

Thank you, this statement made me figure it out.
 

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