Problem 4.8 - Problem 4.8 Given: Data on air compression...

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Problem 4.8 [Difficulty: 2] Given: Data on air compression process Find: Work done Solution: Basic equation δ wp d v = Assumptions: 1) Adiabatic 2) Frictionless process δ w = pdv p 1 1 atm = p 2 4 atm = T 1 20 °C = T 1 293 K = Given data From Table A.6 R 286.9 J kg K = and k 1.4 = Before integrating we need to relate p and v. An adiabatic frictionless (reversible) process is isentropic, which for an ideal gas gives pv k C = where k c p c v = δ d v = Cv k dv = Integrating w C k1 v 2 1k v 2 = 1 () p 2 v 2 k v 2 p 1 v 1 k v 2 = w R T 2 T 1 = RT 1 T 2 T 1 1 = (1) But k C = means p 1 v 1 k p 2 v 2 k
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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