Discussion
A reservoir holding 10\( ^6 \) m\( ^3 \) of water at a head of 200 m stores approximately
Answer: D
Correct answer: 545 MWh
The stored potential energy is
\[ E = \rho g V h = 1000 \times 9.81 \times 10^6 \times 200 = 1.962 \times 10^{12} \ \mathrm{J} \]\[ \frac{1.962 \times 10^{12}}{3.6 \times 10^9} \approx 545 \ \mathrm{MWh} \]A million cubic metres at 200 metres is a large but not exceptional scheme, and 545 MWh would supply a small city for an hour or so.
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