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Question

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.

Answer 1

Step 1:

The length of the copper rod is .

The diameter of the copper rod is .

The one end is kept at .

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

Find the heat conduction rate along the rod.

The heat conduction rate is ,

where is the thermal conductivity of the material,

is the cross section area,

is the higher temperature,

is the cooler temperature and

is the distance between two ends.

Thermal conductivity of copper is .

Assume that the rod has uniform thickness.

The cross sectional area of the rod is .

Substitute .

.

The cross sectional area is .

Step 2:

The heat conduction rate is

Substitute , , , and .

.

The heat conduction rate along the rod is .

Solution:

The heat conduction rate along the rod is .

Comments

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