Isothermal Expansion: Work and Heat

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SUMMARY

The discussion focuses on the principles of isothermal expansion in thermodynamics, specifically evaluating three statements regarding heat and work. The consensus is that statements A and B are true: heat is converted into work during isothermal expansion, and this process can be reversible under ideal conditions, such as in a Carnot engine cycle. Statement C is debated, with participants concluding that isobaric expansion may involve more work than isothermal expansion depending on the specific conditions.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Familiarity with isothermal and isobaric processes
  • Knowledge of the Carnot engine cycle
  • Ability to interpret PV diagrams
NEXT STEPS
  • Study the first law of thermodynamics in detail
  • Learn about the Carnot cycle and its components
  • Explore the differences between isothermal and isobaric processes
  • Practice drawing and analyzing PV diagrams for various thermodynamic processes
USEFUL FOR

Students of thermodynamics, mechanical engineers, and anyone interested in understanding the principles of heat transfer and work in gas expansion processes.

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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