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# Working with thermal conductivity

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A uniform copper bar 50 cm long is insulated on the sides and has its ends exposed to ice and steam respectively. If there is a layer of water 0.1 mm thick at each end, calculate the temperature gradient in the bar at steady state.

Thermal conductivity of copper = 1.04 cgs units

Thermal conductivity of water = 0.0014 cgs units.

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The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

##### Solution Preview

Heat conducted through the film of water at the hot end is equal to the heat conducted through the copper bar.

Let Q be the heat conducted per second

Q = 0.0014 x A x (100 - t1) for ...

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