A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 3.30×10−2 kg . Throughout this problem use Lf=3.34×105J/kg for the heat of fusion for water. A) During this time, how much work W is performed by the engine?

Explanation:

Given:

mass of ice melted,

time taken by the ice to melt,

latent heat of the ice,

Now the heat rejected by the Carnot engine:

Since we have boiling water as hot reservoir so:

The cold reservoir is ice, so:

Now the efficiency:

Now form the law of energy conservation:

Heat supplied:

where:

heat supplied to the engine

Now the work done:

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