Work Done in Carnot Cycle: Adiabatic Compression

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Homework Help Overview

The discussion revolves around the work done during the adiabatic compression process in a Carnot cycle, particularly focusing on the relationship between work, efficiency, and heat exchange.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the role of heat exchange in calculating work done and efficiency in the context of a Carnot cycle. Some participants suggest relating the discussion to the first law of thermodynamics and the definition of efficiency.

Discussion Status

The conversation is ongoing, with participants exploring the foundational concepts of the Carnot cycle and its idealized conditions. There is an indication that further clarification and background information may be beneficial for the original poster's understanding.

Contextual Notes

Participants note the idealized assumptions of the Carnot cycle, including perfect seals, lubrication, and thermal connections, which may influence the understanding of the problem.

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1.what is the work done in an adiabatic compression process in a carnot cyclewhen we consider work done in efficiency why do we take heat exchange into account i.e.,qs-qr

The Attempt at a Solution

 
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Is it a homework question?

Anyways efficiency is measured by output you get from the machine divided by input you give to the machine. The heat change indicates the amount of heat transformed into work. Relate first law of thermodynamics.
 
We consider the standard Carnot-cycle which can be thought of as having a piston moving within a cylinder, and having the following characteristics:
  • A perfect seal, so that no atoms escape from the working fluid as the piston moves to expand or compress it.
  • Perfect lubrication, so that there is no friction.
  • An ideal-gas for the working fluid.
  • Perfect thermal connection at any time either to one or to none of two reservoirs, which are at two different temperatures, with perfect thermal insulation isolating it from all other heat transfers.
  • The piston moves back and forth repeatedly, in a cycle of alternating "isothermal" and "adiabatic" expansions and compressions
 

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