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a 3-stroke cycle engine with processes of adiabatic expansion, isochoric heating, isobaric compression. described below. transform the cycle onto a T-S diagram. If so an engine that works in between 2 heat reservoirs with the known temperatures T(H) and T(L) and given that Cp/Cv=gamma (constant) a: find the intermediate temperature T(i) from the end of the process of adiabatic expansion b: find the efficiency of the engine by using T(L)T(H)=0.2 and gamma= 1.67

a 3-stroke cycle engine with processes of adiabatic expansion, isochoric heating, isobaric compression. described below. transform the cycle onto a T-S diagram. If so an engine that works in between 2 heat reservoirs with the known temperatures T(H) and T(L) and given that Cp/Cv=gamma (constant) a: find the intermediate temperature T(i) from the end of the process of adiabatic expansion b: find the efficiency of the engine by using T(L)T(H)=0.2 and gamma= 1.67

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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Please answer part a) and part b). For part a) answer Ti in terms of Cp, Cv, Th, Tl. please show original work I've attached T-S diagram of the heat engine cycle 3-stroke process

**Title: Understanding a 3-Stroke Cycle Engine and its Efficiency** A 3-stroke cycle engine involves processes such as adiabatic expansion, isochoric heating, and isobaric compression. These processes are illustrated in a T-S (Temperature-Entropy) diagram, which helps in visualizing the thermodynamic cycle of the engine. The engine operates between two heat reservoirs with the known temperatures \( T(H) \) and \( T(L) \). The specific heat capacities at constant pressure and volume are given by \( C_p/C_v = \gamma \) (a constant). **Objectives:** a. Determine the intermediate temperature \( T(i) \) after the adiabatic expansion process. b. Calculate the engine's efficiency using \( T(L)/T(H) = 0.2 \) and \( \gamma = 1.67 \). **Understanding the Diagram:** - **Adiabatic Expansion:** This is where the engine expands without exchanging heat with its surroundings. As a result, the entropy remains constant while the temperature changes. - **Isochoric Heating:** This occurs when the volume remains constant, and the substance is heated, resulting in a rise in temperature and entropy. - **Isobaric Compression:** In this process, the engine's volume decreases at a constant pressure, leading to a decrease in entropy and temperature. By analyzing these processes, we can compute the engine’s efficiency and describe its operational characteristics.
Transcribed Image Text:**Title: Understanding a 3-Stroke Cycle Engine and its Efficiency** A 3-stroke cycle engine involves processes such as adiabatic expansion, isochoric heating, and isobaric compression. These processes are illustrated in a T-S (Temperature-Entropy) diagram, which helps in visualizing the thermodynamic cycle of the engine. The engine operates between two heat reservoirs with the known temperatures \( T(H) \) and \( T(L) \). The specific heat capacities at constant pressure and volume are given by \( C_p/C_v = \gamma \) (a constant). **Objectives:** a. Determine the intermediate temperature \( T(i) \) after the adiabatic expansion process. b. Calculate the engine's efficiency using \( T(L)/T(H) = 0.2 \) and \( \gamma = 1.67 \). **Understanding the Diagram:** - **Adiabatic Expansion:** This is where the engine expands without exchanging heat with its surroundings. As a result, the entropy remains constant while the temperature changes. - **Isochoric Heating:** This occurs when the volume remains constant, and the substance is heated, resulting in a rise in temperature and entropy. - **Isobaric Compression:** In this process, the engine's volume decreases at a constant pressure, leading to a decrease in entropy and temperature. By analyzing these processes, we can compute the engine’s efficiency and describe its operational characteristics.
This diagram represents a thermodynamic process on a Temperature-Entropy (T-S) graph, displaying different types of processes using three distinct paths labeled 1, 2, and 3. ### Graph Explanation: - **Axes**: - The vertical axis represents Temperature (T). - The horizontal axis represents Entropy (S). ### Processes: 1. **Isochoric Process (1 to 2)**: - Represented by the blue line. - This path is straight and angled upwards, indicating an increase in temperature without a change in volume. 2. **Adiabatic Process (2 to 3)**: - Shown by the brown vertical line. - In this process, entropy remains constant while temperature decreases, indicating no heat exchange with the surroundings. 3. **Isobaric Process (3 to 1)**: - Indicated by the purple curved line. - This path shows a return to the initial state, with entropy increasing while maintaining constant pressure. Each of these paths illustrates a fundamental thermodynamic principle, demonstrating how energy transformations can be analyzed through temperature and entropy variations.
Transcribed Image Text:This diagram represents a thermodynamic process on a Temperature-Entropy (T-S) graph, displaying different types of processes using three distinct paths labeled 1, 2, and 3. ### Graph Explanation: - **Axes**: - The vertical axis represents Temperature (T). - The horizontal axis represents Entropy (S). ### Processes: 1. **Isochoric Process (1 to 2)**: - Represented by the blue line. - This path is straight and angled upwards, indicating an increase in temperature without a change in volume. 2. **Adiabatic Process (2 to 3)**: - Shown by the brown vertical line. - In this process, entropy remains constant while temperature decreases, indicating no heat exchange with the surroundings. 3. **Isobaric Process (3 to 1)**: - Indicated by the purple curved line. - This path shows a return to the initial state, with entropy increasing while maintaining constant pressure. Each of these paths illustrates a fundamental thermodynamic principle, demonstrating how energy transformations can be analyzed through temperature and entropy variations.
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