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↪Describe the working of Carnot Engine!!↩
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Carnot engine is a theoretical thermodynamic cycle proposed by Leonard Carnot. It gives the estimate of the maximum possible efficiency that a heat engine during the conversion process of heat into work and conversely, working between two reservoirs, can possess. In this section, we will learn about the Carnot cycle and Carnot Theorem in detail.
Carnot Cycle:
A Carnot cycle is defined as an ideal reversible closed thermodynamic cycle in which there are four successive operations involved and they are isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression. During these operations, the expansion and compression of substance can be done up to desired point and back to initial state.
The Carnot Cycle
Following are the four processes of Carnot cycle:
In (a), the process is reversible isothermal gas expansion. In this process, the amount of heat absorbed by the ideal gas is qin from the heat source which is at a temperature of Th. The gas expands and does work on the surroundings.
In (b), the process is reversible adiabatic gas expansion. Here, the system is thermally insulated and the gas continues to expand and work is done on the surroundings. Now the temperature is lower, Tl.
In (c), the process is reversible isothermal gas compression process. Here, the heat loss, qout occurs when the surroundings do the work at temperature Tl.
In (d), the process is reversible adiabatic gas compression. Again the system is thermally insulated. The temperature again rise back to Th as the surrounding continue to do their work on the gas.
Steps involved in a Carnot Cycle
For an ideal gas operating inside a Carnot cycle, the following are the steps involved:
Step 1:
Isothermal expansion: The gas is taken from P1, V1, T1 to P2, V2, T2. Heat Q1 is absorbed from the reservoir at temperature T1. Since the expansion is isothermal, the total change in internal energy is zero and the heat absorbed by the gas is equal to the work done by the gas on the environment, which is given as:
W1→2=Q1=μ×R×T1×lnv2v1
Step 2:
Adiabatic expansion: The gas expands adiabatically from P2, V2, T1 to P3, V3, T2.
Here work done by the gas is given by:
W2→3=μRγ−1(T1−T2)
Step 3:
Isothermal compression: The gas is compressed isothermally from the state (P3, V3, T2) to (P4, V4, T2).
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