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The ocean thermal energy conversion project uses the surface water near tropical islands with a temperature of 20°C as the hot temperature reservoir, and the water at some depth, with a temperature of 5.0°C, as the cold temperature reservoir for a heat engine. What is the maximum possible efficiency of an engine running between those two temperatures?

Answer :

Answer:

[tex]\eta=0.0512\ or\ 5.12\%[/tex]

Explanation:

Heat engine is device operating in a continuous cycle between two reservoirs such that it transfers heat from a high temperature reservoir to a low temperature reservoir giving some work output in synchronization to Kelvin-Plank statement of the second law of thermodynamics.

Given that:

  • temperature of higher temperature reservoir, [tex]T_H=20+273=293\ K[/tex]
  • temperature of lower temperature reservoir, [tex]T_L=5+273=278\ K[/tex]

For maximum efficiency:

[tex]\eta=1-\frac{T_L}{T_H}[/tex]

were:

[tex]T_H\ \&\ T_L[/tex] are the temperatures of higher temperature reservoir and lower temperature reservoir respectively.

[tex]\eta=1-\frac{278}{293}[/tex]

[tex]\eta=0.0512\ or\ 5.12\%[/tex]

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