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An existing process consists of two steps: (a) One mole of air T1 = 900 K and P1 = 3 bar is cooled at constant volume to T2 = 300 K. (b) The air is then heated at constant pressure until its temperature reaches 900 K. It is proposed to replace this two-step process by a single isothermal expansion of the air from 900 K and 3 bar to some final pressure P. What is the value of P that makes the work of the proposed process equal to that of the existing process? Assume mechanical reversibility and treat air as an ideal gas with Cp = 7R/2 and Cv = 5R/2

An existing process consists of two steps: (a) One mole of air T1 = 900 K and P1 = 3 bar is cooled at constant volume to T2 = 300 K. (b) The air is then heated at constant pressure until its temperature reaches 900 K. It is proposed to replace this two-step process by a single isothermal expansion of the air from 900 K and 3 bar to some final pressure P. What is the value of P that makes the work of the proposed process equal to that of the existing process? Assume mechanical reversibility and treat air as an ideal gas with Cp = 7R/2 and Cv = 5R/2

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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An existing process consists of two steps:

(a) One mole of air T1 = 900 K and P1 = 3 bar is cooled at constant volume to T2 = 300 K.

(b) The air is then heated at constant pressure until its temperature reaches 900 K.

It is proposed to replace this two-step process by a single isothermal expansion of the air from 900 K and 3 bar to some final pressure P. What is the value of P that makes the work of the proposed process equal to that of the existing process? Assume mechanical reversibility and treat air as an ideal gas with Cp = 7R/2 and Cv = 5R/2

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