Physics

Physics

Problem

A scientific study carried out on a natural gas combined cycle power station showed that the efficiency of the generators decreased as the ambient temperature increased from 8 ∘C8\text{ }^{\circ}\text{C} to 23 ∘C23\text{ }^{\circ}\text{C} . a. Outline why this result was to be expected. b. Calculate the maximum theoretical efficiency of such a power station operating between the temperatures 700 ∘C700\text{ }^{\circ}\text{C} and - 8 ∘C8\text{ }^{\circ}\text{C} . - 23 ∘C23\text{ }^{\circ}\text{C} . c. At the ambient temperature of 8 ∘C8\text{ }^{\circ}\text{C} , the electrical energy produced by each generator was 46.0 MW46.0\text{ MW} . When the ambient temperature was increased to 23 ∘C23\text{ }^{\circ}\text{C} , the electrical energy produced by each generator fell to 40.0 MW40.0\text{ MW} . How does the change in electrical energy production compare with the change in the maximum theoretical efficiency of the generators? Comment on your answer.

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