20.60. A TS-Diagram. (a) Graph a Carnot cycle, plotting Kelvin temperature vertically and entropy horizontally. This is called a temperature-entropy diagram, or TS-diagram. (b) Show that the area under any curve representing a reversible path in a temperature-entropy diagram represents the heat absorbed by the system. (c) Derive from your diagram the expression for the ther- mal efficiency of a Carnot cycle. (d) Draw a temperature-entropy diagram for the Stirling cycle, described in Problem 20.50. Use this diagram to relate the efficiency of the Carnot and Stirling cycles.
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On a TS-diagram, the isothermal processes are horizontal lines (constant temperature) and the adiabatic processes are vertical lines (constant entropy). The cycle looks like a rectangle on the TS-diagram. Show more…
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20.60. A TS-Diagram. (a) Graph a Carnot cycle, plotting Kelvin temperature vertically and entropy horizontally. This is called a temperature-entropy diagram, or $T$ S-diagram. (b) Show that the area under any curve nepresenting a reversible path in a temperature-entropy diagram represents the heat absorbed by the system. (c) Derive from your diagram the expression for the thermal efficiency of a Carnot cycle. (d) Draw a temperature-entropy diagram for the Stirling cycle, described in Problem 20.50 . Use this diagram to relate the efficiency of the Carnot and Stirling cycles.
Figure Q2(i) shows the thermodynamic cycle of an engine. It consists of two isothermal processes (BC, DA) and two isochoric processes (AB, CD). Assume VD=2VA, TB=3TA. (a) Calculate the thermal efficiency of the engine. (b) Sketch the cycle in temperature (T)-entropy (S) diagram. Mark the corresponding A, B, C, D points in the diagram, and briefly explain your sketch. (c) One designs another cycle shown in Figure Q2(ii). Discuss whether the cycle is reasonable.
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