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Three moles of an ideal gas are taken around cycle acb
Chapter 19, Problem 46P(choose chapter or problem)
Three moles of an ideal gas are taken around cycle ?acb shown in ?Fig. P19.42?. For this gas, Cp = 29.1 J / mol ? K. Process ac is at constant pressure, process ?ba is at constant volume, and process ?cb is adiabatic. The temperatures of the gas in states ?a?, ?c?, and ?b are Ta = 300 K, Tc = 492 K, and Tb = 600 K. Calculate the total work ?W for the cycle.
Questions & Answers
QUESTION:
Three moles of an ideal gas are taken around cycle ?acb shown in ?Fig. P19.42?. For this gas, Cp = 29.1 J / mol ? K. Process ac is at constant pressure, process ?ba is at constant volume, and process ?cb is adiabatic. The temperatures of the gas in states ?a?, ?c?, and ?b are Ta = 300 K, Tc = 492 K, and Tb = 600 K. Calculate the total work ?W for the cycle.
ANSWER:Solution 46P Step 1: Data given C p 29.1 J /mol K T a 300 K T b 492 K T c 600 K n= 3 From the graph we can notice that work done is in three forms Isobaric from a to c W = nRT ac Adiabatic from c to b W = nC T cb v Isochoric from b to a ba = 0