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Problem 30 Hard Difficulty

In a steam engine the pressure $ P $ and volume $ V $ of steam satisfy the equation$ PV^{1.4} = k $, where $ k $ is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Use Exercise 29 to calculate the work done by the engine during a cycle when the steam starts at a pressure of $ 160 lb/in^2 $ and a volume of $ 100 in^3 $ and expands to a volume of $ 800 in^3 $.
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Answer

$1882.4 \mathrm{ft}-\mathrm{lb}$

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Video Transcript

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