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# 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 $800 in^3$..

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

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Applications of Integration

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University of Michigan - Ann Arbor

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University of Nottingham

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Idaho State University

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### Video Transcript

we start off to calculate that off key. And here we have this nice for mother. Gave him a question already. The caves to beat him squeak 114 We're just talking about therapy and being gonna have K equals two 1 60 times. 100. However, 1.4. And that's gonna be over. Kate. Um, Miss Constance and from exercise 29 we know that over work equals two. The pressure TV on these stents for the falling from up 1121122 like be our starting position stud configuration and the ending of ignition. And we know that a cake was Pete and speak with 14 which implies the p equals two K times speed to the minus woman, and we plug him to be here. See? Reason Functional. P R. Flack, that the value of P here p is going to be in case of constant here. All right, so our work equals two starting position with 1 100 engines are never wrong. Eight, hundreds and hundreds. And our function is what fucking the battle of kay Here It's was 60 times, 100 to our woman for and the over P my flight was beef minus one for TV. It's quite a long legal, but in the end, it always one succeeded times one injured, 214 times, 802 months with 14014 minus 100 is minus 14 The body by active Suman four. And that's finally equals two. Just after long calculation. Approximately equal suit. 1882 feet Helen's.

University of Illinois at Urbana-Champaign

#### Topics

Applications of Integration

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp