Isothermal Expansion: Work and Heat

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Homework Help Overview

The discussion revolves around the principles of thermodynamics, specifically focusing on isothermal expansion and its relationship to work and heat. Participants are evaluating statements regarding the nature of heat conversion, reversibility of the process, and comparisons of work done during different types of expansions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are analyzing the validity of three statements related to isothermal expansion, questioning the relationship between heat and work, the conditions for reversibility, and the comparison of work done in isothermal versus isobaric processes. Some suggest applying the first law of thermodynamics and considering the Carnot cycle.

Discussion Status

There is an ongoing exploration of the statements, with some participants expressing uncertainty about their correctness. Guidance has been offered regarding the application of thermodynamic principles, and there are multiple interpretations being discussed without a clear consensus on the correct answer.

Contextual Notes

Participants are working under time constraints, seeking clarity on the problem before a deadline. There is also a mention of needing to consider graphical representations of the processes involved.

minidee
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Which of the following statements are true?

1. Heat is converted completely into work during isothermal expansion.
2. Isothermal expansion is reversible under ideal conditions.
3. During the process of isothermal expansion, the gas does more work than during the isobaric expansion (at constant pressure) between the same initial and final volumes.

Carefully consider all options and choose the best one.

A only
B only
C only
A and B only
A and C only
B and C only
A and B and C

I can't seem to figure this one out. I think the answer is A only because that definitely works. I'm very unsure about the other two statements though. I believe B is incorrect because only adiabatic processes are reversible. And I believe C can be correct or incorrect based on the situation so I pick A.

Thanks for the help guys!
 
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minidee said:
Which of the following statements are true?

1. Heat is converted completely into work during isothermal expansion.
2. Isothermal expansion is reversible under ideal conditions.
3. During the process of isothermal expansion, the gas does more work than during the isobaric expansion (at constant pressure) between the same initial and final volumes.

Carefully consider all options and choose the best one.

A only
B only
C only
A and B only
A and C only
B and C only
A and B and C

I can't seem to figure this one out. I think the answer is A only because that definitely works. I'm very unsure about the other two statements though. I believe B is incorrect because only adiabatic processes are reversible. And I believe C can be correct or incorrect based on the situation so I pick A.

Thanks for the help guys!
For A, apply the first law. What is the change in internal energy in any isothermal change? What does that tell you about the relationship between work and heat flow (W and Q)?

For B, consider the classic four parts of the Carnot engine cycle: is isothermal expansion part of that cycle?

For C, draw a PV diagram for isothermal expansion and for isobaric expansion. Which graph as the most area under it? What does that area represent?

AM
 
so I'm guessing that A works because the law applies W=Q.

B actually works because in the carnot engine cycle, isothermal expansion can be reversed.

C, the area represents work. I would say that more work is done on the isobaric.

So A and B only is the correct answer. Am I right?
 
Last edited:
i've noticed no one has answered yet. I kind of need this by tonight. thanks!
 
minidee said:
so I'm guessing that A works because the law applies W=Q.

B actually works because in the carnot engine cycle, isothermal expansion can be reversed.

C, the area represents work. I would say that more work is done on the isobaric.

So A and B only is the correct answer. Am I right?
You are. But you don't seem very confident. Is the isobaric path above the isothermal? If so, it has more area and represents more work.

AM
 

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