The Australian mining town of Coober Pedy in northern South Australia is renowned for its opals. Located approximately 850 km north of Adelaide, the town is exposed to a hot desert climate, and many of the town’s residents live underground to take refuge from the heat. Assume the above ground temperature at Coober Pedy is 48℃, and the below ground temperature is 5℃.  (a) An inventor has realized for those living underground a refrigerator to cool the soft drinks in the refrigerated space. The refrigerator is made to reject energy by heat transfer to above the ground and has a remarkable coefficient of performance of 7.0. Evaluate what is the lowest theoretical temperature of the refrigerated space, and if it is worth using it. (b) The same inventor has filed a patent claiming to have devised a process to generate electricity operating between the above ground and below ground temperatures with a thermal efficiency of 15%. Evaluate the inventor’s claim.

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Chapter1: Units, Trigonometry. And Vectors
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The Australian mining town of Coober Pedy in northern South Australia is renowned for its
opals. Located approximately 850 km north of Adelaide, the town is exposed to a hot desert
climate, and many of the town’s residents live underground to take refuge from the heat.
Assume the above ground temperature at Coober Pedy is 48℃, and the below ground
temperature is 5℃. 

(a) An inventor has realized for those living underground a refrigerator to cool the soft
drinks in the refrigerated space. The refrigerator is made to reject energy by heat
transfer
to above the ground and has a remarkable coefficient of performance of 7.0.
Evaluate what is the lowest theoretical temperature of the refrigerated space, and if
it is worth using it.
(b) The same inventor has filed a patent claiming to have devised a process to generate
electricity operating between the above ground and below ground temperatures
with a thermal efficiency of 15%. Evaluate the inventor’s claim.

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