Carnot Cycle: Doubt in Reversible Isothermal Heat Addition

In summary, the Carnot cycle consists of two reversible isothermal processes and two reversible adiabatic processes. In the isothermal process, heat is added and converted into pdV work, while in the adiabatic process, work is done on the system. The key to understanding this is that work is done by the system during isothermal expansion and on the system during isothermal compression. The external energy source for the system is not limited to just the heat supplied during the isothermal process.
  • #1
Rahul Mohan P
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In Carnot cycle during the process - "Reversible isothermal heat addition"

Q (supplied) = ∫pdV

This means that the supplied heat is utilized for pdV work.

My doubt is if the Q supplied is converted to work in this process then how Carnot cycle can reject heat during the upcoming isothermal heat rejection process ?

Please help to clear the miss concepts.

Thank You
 
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  • #2
In the compression process, the system is in thermal contact with a cold reservoir just as it is in thermal contact with a hot reservoir during the expansion. You do work on the system, which is kept at a fixed temperature set by the cold reservoir.
 
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  • #3
Orodruin said:
In the compression process, the system is in thermal contact with a cold reservoir just as it is in thermal contact with a hot reservoir during the expansion. You do work on the system, which is kept at a fixed temperature set by the cold reservoir.
Thanks for the reply..But still confused..

Carnot Cycle have 4 process
Two reversible isothermal and two reversible adiabatic process
adiabatic process starts after isotherm. Now if heat added in isotherm is transferred to pdV work and there is no change in internal energy then how work is done in the next adiabatic process ?
 
  • #4
Work(significant work) is done at two stages i.e. at the higher temperature isotherm (isothermal expansion) and at the lower temperature (isothermal compression). In between these processes we have adiabatic expansion of the gas where the gas cools to the lower temperature. The key here is that work is done BY the system when it expands isothermally at the higher temperature whereas, work is done ON the system when it is compressed at the lower temperature.
 
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  • #5
Mgcini Keith Phuthi said:
Work(significant work) is done at two stages i.e. at the higher temperature isotherm (isothermal expansion) and at the lower temperature (isothermal compression). In between these processes we have adiabatic expansion of the gas where the gas cools to the lower temperature. The key here is that work is done BY the system when it expands isothermally at the higher temperature whereas, work is done ON the system when it is compressed at the lower temperature.
Thanks for the reply..Who supplies the energy to do work on the system ? Is it supplied externally ? I mean the only energy source available for the system is the heat supplied during isotherm process.
 
  • #6
Rahul Mohan P said:
Thanks for the reply..Who supplies the energy to do work on the system ? Is it supplied externally ? I mean the only energy source available for the system is the heat supplied during isotherm process.
This is not true, the work the system does must be on an external system just as the work done on the system must be supplied from an external system. What it is depends on your actual system.
 

What is the Carnot Cycle?

The Carnot Cycle is a theoretical thermodynamic cycle that represents the most efficient way to convert heat into work. It consists of four reversible processes: isothermal heat addition, adiabatic expansion, isothermal heat rejection, and adiabatic compression.

What is the purpose of the reversible isothermal heat addition in the Carnot Cycle?

The reversible isothermal heat addition is the first step in the Carnot Cycle and serves to increase the temperature and pressure of the working fluid while keeping it in thermal equilibrium with its surroundings. This process is necessary to prepare the fluid for the subsequent adiabatic expansion.

Why is the Carnot Cycle considered a reversible cycle?

The Carnot Cycle is considered reversible because it consists of a series of processes that can be reversed without any net energy loss. This is due to the fact that the cycle is composed of only reversible processes, which are processes that can be reversed without any change in entropy.

What is the significance of the Carnot Cycle in thermodynamics?

The Carnot Cycle is significant in thermodynamics because it represents the maximum theoretical efficiency that any heat engine can achieve. It serves as a benchmark for the efficiency of real-world heat engines and provides insights into the principles of thermodynamics.

What factors affect the efficiency of the Carnot Cycle?

The efficiency of the Carnot Cycle is affected by the temperature of the heat source and heat sink, as well as the working fluid used. In general, the higher the temperature difference between the heat source and heat sink, the higher the efficiency of the cycle. Additionally, using a more ideal gas as the working fluid can also increase efficiency.

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