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Physics | 4th Edition | ISBN: 9780321611116 | Authors: James S. Walker
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Two metal rods of equal lengthone aluminum, the other

Chapter 16, Problem 54

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QUESTION:

Two metal rods of equal lengthone aluminum, the other stainless steelare connected in parallel with a temperature of 20.0 C at one end and 118 C at the other end. Both rods have a circular cross section with a diameter of 3.50 cm. (a) Determine the length the rods must have if the combined rate of heat ow through them is to be 27.5 J per second. (b) If the length of the rods is doubled, by what factor does the rate of heat ow change?

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QUESTION:

Two metal rods of equal lengthone aluminum, the other stainless steelare connected in parallel with a temperature of 20.0 C at one end and 118 C at the other end. Both rods have a circular cross section with a diameter of 3.50 cm. (a) Determine the length the rods must have if the combined rate of heat ow through them is to be 27.5 J per second. (b) If the length of the rods is doubled, by what factor does the rate of heat ow change?

ANSWER:

Step 1 of 3

(a)

Calculate the length of two metal rods with equal dimensions. First, we sum the heat transfer rates for each rod since the combined rate of heat flow through both rods is given. This yields

 …. equation(1)

Then we write an expression for the heat transfer rate for each rod.

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