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One end of a 62-cm-long copper rod with a diameter of 2.4 cm is kept at 470 ∘C, and the other is immersed in water at 22 ∘C.

Calculate the heat conduction rate along the rod.

asked Nov 29, 2015 in PHYSICS by anonymous

1 Answer

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Step 1:

The length of the copper rod is image.

The diameter of the copper rod is image.

The one end is kept at image.

The othe end of the copper rod is immersed in water at image.

Find the heat conduction rate along the rod.

The heat conduction rate is image,

where image is the thermal conductivity of the material,

image is the cross section area,

image is the higher temperature,

image is the cooler temperature and

image is the distance between two ends.

Thermal conductivity of copper is image.

Assume that the rod has uniform thickness.

The cross sectional area of the rod is image.

Substitute image.

image

image

image

image

image.

The cross sectional area is image.

Step 2:

The heat conduction rate is image

Substitute image, image, image, image and image.

image

image

image

image.

The heat conduction rate along the rod is image.

Solution:

The heat conduction rate along the rod is image.

answered Nov 30, 2015 by Sammi Mentor
edited Nov 30, 2015 by Sammi

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