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find the relation between the work done in the isothermal expansion and the work done in the isothermal compression, and also build the relation between the work done in the adiabatic expansion and the work done in the adiabatic compression.

find the relation between the work done in the isothermal expansion and the work done in the isothermal compression, and also build the relation between the work done in the adiabatic expansion and the work done in the adiabatic compression.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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find the relation between the work done in the isothermal expansion and the work done in the isothermal compression, and also build the relation between the work done in the adiabatic expansion and the work done in the adiabatic compression. [Hint: please show the simplest equation to express the relations]

In 1824, Sadi Carnot published a treatise on thermodynamics in which he invented a cycle composed of four special processes, as shown in Figure 1. The heat engine that would run on this cycle has been called as the Carnot engine, described as the Carnot cycle. The four processes, in order, occurs in a closed piston-cylinder container by following the four processes. Process 1-2: Reversible isothermal expansion with the pressure from Pito P2 at the temperature TH Process 2-3: Reversible adiabatic expansion for the pressure from P2to P3 and the temperature from TH to TL, the process obeys TP(1-k)/k Process 3-4: Reversible isothermal compression from the pressure from P3 to P4 at temperature TL Process 4-1: Reversible adiabatic compression for the pressure from P4to P1 and temperature from = constant, where k Cp/Cy (a heat capacity ratio) Iz to TH, the process obeying TP(1-k)/k = constant as well (1) (4) (3) FF Energy Energy source sink at TH at TL (a) Process 1-2 (c) Process 3-4 (2) (3) (4) TH TH TL TL (b) Process 2-3 (d) Process 4-1 Insulation TH = const. Insulation
Transcribed Image Text:In 1824, Sadi Carnot published a treatise on thermodynamics in which he invented a cycle composed of four special processes, as shown in Figure 1. The heat engine that would run on this cycle has been called as the Carnot engine, described as the Carnot cycle. The four processes, in order, occurs in a closed piston-cylinder container by following the four processes. Process 1-2: Reversible isothermal expansion with the pressure from Pito P2 at the temperature TH Process 2-3: Reversible adiabatic expansion for the pressure from P2to P3 and the temperature from TH to TL, the process obeys TP(1-k)/k Process 3-4: Reversible isothermal compression from the pressure from P3 to P4 at temperature TL Process 4-1: Reversible adiabatic compression for the pressure from P4to P1 and temperature from = constant, where k Cp/Cy (a heat capacity ratio) Iz to TH, the process obeying TP(1-k)/k = constant as well (1) (4) (3) FF Energy Energy source sink at TH at TL (a) Process 1-2 (c) Process 3-4 (2) (3) (4) TH TH TL TL (b) Process 2-3 (d) Process 4-1 Insulation TH = const. Insulation
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