A blackened copper cube that has 1.00-cm-long edges is

Chapter , Problem 60

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A blackened copper cube that has 1.00-cm-long edges is heated to a temperature of and then is placed in a vacuum chamber whose walls are at a temperature of In the vacuum chamber, the cube cools radiatively. (a) Show that the (absolute) temperature of the cube follows the differential equation: where is the heat capacity of the cube, is its surface area, the emissivity, and the temperature of the vacuum chamber. (b) Using Eulers method (Section 5.4 of Chapter 5), numerically solve the differential equation to find and graph it. Assume How long does it take the cube to cool to a temperature of 15C? SSM

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