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Question
In certain large geographic regions, the underlying rock is hot. Wells can be drilled and water circulated through the rock for heat transfer for the generation of electricity. (a) Calculate the heat transfer that can be extracted by cooling $1.00\textrm{ km}^3$ of granite by $100\textrm{C}^\circ$ . (b) How long will this take if heat is transferred at a rate of 300 MW, assuming no heat transfers back into the 1.00 km of rock by its surroundings?
1. $2.27\times 10^{17}\textrm{ J}$
2. $24.0 \textrm{ years}$
Solution Video