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Grade upto college level Thermal Physics

From Fig. 23-11, estimate the amount of heat needed to raise the temperature of 0.45 mol of carbon from 200 to 500 K. (Hint: Approximate the actual curve in this region with a straight-line segment).
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

Profile image of Shane Macguire
11 Years agoGrade upto college level
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1 Answer

Profile image of Deepak Patra
11 Years ago
We have to approximate c first. In the below figure, we assume that the line is straight then we use c = mT+b.
Figure:

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233-2062_1.PNG