A constant temperature source is maintained at 727°C, while the surrounding temperature is 17°C. If the heat transferred from the source is 4000 kJ in a reversible manner; calculate the availability of heat energy and unavailable heat.
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Where Ds is the entropy of the body supplying the energy as heat.
The Carnot cycle and the available energy is shown in figure.
The area 1-2-3-4 represents the available energy.
The shaded area 4-3-B-A represents the energy, which is discarded to the ambient atmosphere, and this quantity of energy cannot be converted into work and is called Unavailable energy.
Suppose a finite body is used as a source. Let a large number of differential Carnot engines be used with the given body as the source.
If the initial and final temperatures of the source are T1 and T2 respectively, the total work done or the available energy is given by
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2840j 1160j
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