Question

In: Physics

A coal-fired power plant uses 400 ◦C steam to turn a turbine. Afterwards, the steam is...

A coal-fired power plant uses 400 ◦C steam to turn a turbine. Afterwards, the steam is condensed at a temperature of 25 ◦C. If the plant burns 1 million kg of coal in one hour, running at maximum efficiency, what is the amount of work that could be done by the turbine in that hour? (Coal contains 27 kJ of energy per g).

Solutions

Expert Solution

Hi,

Hope you are doing well.


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SOLUTION:

Let's consider the turbine as a Carnot engine.

Given that,

Temperature of the heat source,

Temperature of the cold sink,

Therefore, Maximum efficiency of the turbine is given by:

Now, Heat produced by 1 million (106 ) kg of coal is given by:

Therefore, Work done by the turbine is given by:


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