Explanation Write the expression for the work done per unit mass. W ˙ c v m ˙ = − R T ln f 2 f 1 + [ V 1 2 − V 2 2 2 + g ( Z 1 − Z 2 ) ] (I) Here, work done is W ˙ c v , mass flow rate is m ˙ , specific enthalpy at state 1 is h 1 , specific enthalpy at state 2 is h 2 , velocity at state 1 is V 1 ,fugacity at state 1 is f 1 , fugacity at state 2 is f 2 , velocity at state 2 is V 2 , acceleration due to gravity is g and potential height at state 1 is Z 1 and the potential height at state 2 is Z 2 . As, the mass flow through a pipe, so neglect W ˙ c v m ˙ and potential energy terms. Substitute 0 for W ˙ c v m ˙ and 0 for Z 1 − Z 2 in Equation (I) 0 = − R T ln f 2 f 1 + [ V 1 2 − V 2 2 2 ] R T ln f 2 f 1 = [ V 1 2 − V 2 2 2 ] (II) Write the expression for the reduced temperature at state 1. T R 1 = T 1 T c (III) Here, critical temperature is T c and temperature at state 1 is T 1 . Write the expression for the reduced pressure at state 1. p R 1 = p 1 p c (IV) Here, critical pressure is p c and pressure at state 1 is p 1 . Write the expression for the reduced pressure at state 2. p R 2 = p 2 p c (V) Here, pressure at state 2 is p 2 . Write the expression of fugacity at state 1. ( f p ) 1 = C 1 (VI) Here, fugacity coefficient at state 1 is C 1 and pressure at state 2 is p 1 . Write the expression of fugacity at state 2. ( f p ) 2 = C 2 (VII) Here, fugacity coefficient at state 2 is C 2 and general pressure at state 2 is p 2

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832301

Author: SHAPIRO

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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