Carnot Vapour Power Cycle with PV and TS diagramApplied thermodynamics
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The Carnot cycle of a Carnot Engine is a theoretical ideal thermodynamic cycle that consists of four reversible steps. Carnot's Engine converts heat to work at maximum efficiency possible. • Solved numerical problems and downloadable PDFs: ▶ https://thesciencecube.com/ • Join our Telegram Channel: ▶ https://t.me/TheScienceCube_Community • The Carnot cycle is named after French engineer Sadi Carnot, who first formulated the principles of the cycle in 1824. • The four processes of the Carnot cycle are: • Isothermal expansion: In this process, the working substance (such as a gas) is allowed to expand at a constant temperature, T1. This process absorbs heat from the hot reservoir, Q1. • Adiabatic expansion: In this process, the working substance expands without any heat transfer (i.e., it is an adiabatic process). This causes the temperature of the working substance to decrease. • Isothermal compression: In this process, the working substance is compressed at a constant temperature, T2, which is lower than the temperature of the hot reservoir. This process releases heat to the cold reservoir, Q2. • Adiabatic compression: In this process, the working substance is compressed without any heat transfer (i.e., it is an adiabatic process). This causes the temperature of the working substance to increase. • At the end of the cycle, the working substance is returned to its original state, and the process can be repeated. The efficiency of the Carnot cycle is given by the following equation: • η = 1 - (T2 / T1) • where T1 and T2 are the temperatures of the hot and cold reservoirs, respectively. Since the temperature of the cold reservoir is always lower than the temperature of the hot reservoir, the efficiency of the Carnot cycle is always less than 1 (i.e., it is less than 100%). • The Carnot cycle is an idealized cycle, and it is not possible to achieve perfect reversibility in real-world systems. However, the principles of the Carnot cycle can be used to improve the efficiency of real-world heat engines. • Key Moments • 00:00 What is in this lesson • 00:00 Reversibility of a thermodynamic process • 01:10 Carnot's Engine - Conversion of heat to work at maximum efficiency • 01:50 4 steps of Carnot Cycle on a diagram • 03:15 Step 1 of Carnot Cycle - Isothermal expansion on p-v diagram • 04:00 Step 2 of Carnot cycle - Adiabatic expansion on p-v diagram • 04:40 Step 3 of Carnot Cycle - Isothermal compression on p-v diagram • 05:00 Step 4 of Carnot cycle - Adiabatic compression on p-v diagram • 05:20 Work done in step 1 and step 2 of Carnot Cycle • 05:30 Work done in step 3 and step 4 of Carnot Cycle • 06:00 Work done in 4 steps of Carnot Cycle • 07:00 Thermodynamic equations of Carnot Engine and Carnot cycle • 07:15 Efficiency of a Carnot Engine
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