Discussion
The thermal efficiency and electrical efficiency of a steam power station are 30% and 92% respectively. The overall efficiency of the station is -
Answer: B
The overall efficiency is 27.6%.
The overall efficiency of a steam station is the product of its thermal efficiency (heat to mechanical work) and its electrical efficiency (mechanical to electrical energy).
\[ \begin{aligned} \eta_{overall} &= 0.30 \times 0.92 \\ &= 0.276 = 27.6\% \end{aligned} \]
Overall efficiency can never exceed the lower of the two stage efficiencies, which rules out 55.8%, 62.8% and 45%.
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