Hot Stage 4 Stage 1 Cold Stage 3 Stage 2 Volume, V Figure 3A.8 The four stages which make up the Carnot cycle. In stage 1 the gas (the working substance) is in thermal contact with the hot reservoir, and in stage 3 contact is with the cold reservoir; both stages are isothermal. Stages 2 and 4 are adiabatic, with the gas isolated from both reservoirs. d 'eunssald

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
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The Carnot cycle is usually represented on a pressure−volume diagram (Fig. 3A.8), but the four stages can equally well be represented on a temperature−entropy diagram, in which the horizontal axis is entropy and the vertical axis is temperature; draw such a diagram. Assume that the temperature of the hot source is Th and that of the cold sink is Tc, and that the volume of the working substance (the gas) expands from VA to VB in the first isothermal stage. (a) By considering the entropy change of each stage, derive an expression for the area enclosed by the cycle in the temperature−entropy diagram. (b) Derive an expression for the work done over the cycle.

Hot
Stage 4
Stage 1
Cold
Stage 3
Stage 2
Volume, V
Figure 3A.8 The four stages which make up the Carnot cycle.
In stage 1 the gas (the working substance) is in thermal contact
with the hot reservoir, and in stage 3 contact is with the cold
reservoir; both stages are isothermal. Stages 2 and 4 are
adiabatic, with the gas isolated from both reservoirs.
d 'eunssald
Transcribed Image Text:Hot Stage 4 Stage 1 Cold Stage 3 Stage 2 Volume, V Figure 3A.8 The four stages which make up the Carnot cycle. In stage 1 the gas (the working substance) is in thermal contact with the hot reservoir, and in stage 3 contact is with the cold reservoir; both stages are isothermal. Stages 2 and 4 are adiabatic, with the gas isolated from both reservoirs. d 'eunssald
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