How to Calculate Work Done in an Adiabatic Process in a Carnot Cycle?

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Homework Help Overview

The discussion revolves around calculating the work done in an adiabatic process within a Carnot cycle, specifically between points B and C. The original poster is working with a gas whose type (mono or diatomic) is uncertain, affecting the value of gamma. The problem includes specific temperatures and volumes for the gas during the cycle.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to use the relationship T*V^(gamma-1)=K to find the final volume but is limited by the unknown gamma. Participants inquire about the specifics of the gas and suggest considering the efficiency of the Carnot cycle and the heat exchanged between reservoirs.

Discussion Status

Participants are actively engaging with the original poster's attempts and are encouraging further exploration of the problem. Some guidance has been offered regarding the efficiency of the Carnot cycle and the relationships between heat exchanged and the adiabatic processes.

Contextual Notes

The original poster has not provided complete information about the gas type or the entire problem context, which may affect the discussion. There is an emphasis on not providing direct answers, aligning with the forum's homework help guidelines.

schvetz
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Hey. I'm supposed to calculate the work done in an adiabatic process, B-C, and I only know the values of the temperatures and the volume in the first point (point B). It is not known if it is a mono or diatomic gas, therefore i don't know the value of gamma. I've tried T*V^(gamma-1)=K and the only conclusion I got is that Vc=5Vd... From A to B is isotermic and C to D as well, and I know the volume in A and B (1 liter and 5 liters respectively).
Sorry for the bad english.

Schvetz
 
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schvetz said:
Hey. I'm supposed to calculate the work done in an adiabatic process, B-C, and I only know the values of the temperatures and the volume in the first point (point B). It is not known if it is a mono or diatomic gas, therefore i don't know the value of gamma. I've tried T*V^(gamma-1)=K and the only conclusion I got is that Vc=5Vd... From A to B is isotermic and C to D as well, and I know the volume in A and B (1 liter and 5 liters respectively).
Sorry for the bad english.

Schvetz
Give us the entire problem. Does it refer to the gas as "air"? If so, what is the gamma of air?

AM
 
Ok, I'll try to translate the problem.
One mole of a gas describes a carnot cycle between the temperatures of 20ºC and 120ºC. ON the superior isothermic transformation, the initial volume is 1 liter and the final volume is 5 liters. Calculate the amount of heat exchanged between the cold source and the hot source and the work done in a cycle.
I hope you understand my translation.
 
Since this is the homework forum we would also like to see your attempt. We are not here to do your work for you or give you the answer.
 
schvetz said:
Ok, I'll try to translate the problem.
One mole of a gas describes a carnot cycle between the temperatures of 20ºC and 120ºC. ON the superior isothermic transformation, the initial volume is 1 liter and the final volume is 5 liters. Calculate the amount of heat exchanged between the cold source and the hot source and the work done in a cycle.
I hope you understand my translation.
Since it is a Carnot cycle, what can you say about the efficiency of this engine? What does it depend on? Can you work out Qh and Qc? Is there any heat exchanged between the hot and cold reservoirs during the two adiabatic parts of the process? You should be able to find the answer if you answer those questions.

AM
 

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