A heat engine operating in outer space may be assumed equivalent to a Carnot engine operating between

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A heat engine operating in outer space may be assumed equivalent to a Carnot engine operating between reservoirs at temperatures TH and TC . The only way heat can be discarded from the engine is by radiation, the rate of which is given (approximately) by:

where k is a constant and A is the area of the radiator. Prove that, for fixed power output |Ẇ| and for fixed temperature TH, the radiator area A is a minimum when the temperature ratio TC / TH is 0.75.

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Introduction To Chemical Engineering Thermodynamics

ISBN: 9781259696527

8th Edition

Authors: J.M. Smith, Hendrick Van Ness, Michael Abbott, Mark Swihart

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