Isobaric, Isochoric, Isothermal, and Adiabatic Processes

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SUMMARY

The discussion focuses on the thermodynamic processes of isobaric, isochoric, isothermal, and adiabatic transitions, specifically analyzing the transition from state A to state F. It establishes that during this transition, heat (Q) provides energy input, while the relationship between internal energy (U) and work (W) is governed by the first law of thermodynamics. The participants conclude that the temperature (T) and internal energy (U) increase, and that the work done (W) is less than the heat input (Q) during the process.

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  • Understanding of the first law of thermodynamics
  • Familiarity with ideal gas laws
  • Knowledge of PV diagrams and thermodynamic paths
  • Concept of adiabatic processes and their characteristics
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  • Study the first law of thermodynamics in detail
  • Learn about the characteristics of adiabatic processes and their equations
  • Explore PV diagrams and how to interpret isothermal and adiabatic paths
  • Investigate the implications of work done in thermodynamic processes
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doggieslover
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http://session.masteringphysics.com/problemAsset/1013990/12/1013990E.jpg

Which of the following statements are true about the first half of this process, just going from
state A to state F?

Both T and U increase.
W provides energy input.
Q provides energy input.
Q is larger (in magnitude) than W.

I know that Q provides energy input, but none of the other ones sound corrects to me. . .

please help.
 
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OK. Here's how to approach this:

1) Is there an increase or decrease in temperature, and hence is there an increase or decrease in U? (Hint: Think ideal gas eqn.)
2) Is there any work done on or by the gas? How do you know?
3) Relate the signs and magnitudes of U and W, to the sign and magnitude of Q by the first law of thermodynamics.
 
doggieslover said:
Which of the following statements are true about the first half of this process, just going from
state A to state F?

Both T and U increase.
W provides energy input.
Q provides energy input.
Q is larger (in magnitude) than W.
I will assume this is an ideal gas. The PV graph shows P declining linearly as V increases. Plot the isotherm (ie a path in which T is constant: ie P = nRT/V). Now what can you say about paths that are ABOVE the isotherm and paths that are below it (ie what happens to the temperature jn moving along the path?). Is A-F above or below the isotherm?

Now plot the adiabatic path:

PV^\gamma = K

What can you say about Q on the adiabatic path? What can you say about a path that is above the adiabatic path? Below? Is A-F above or below the adiabatic path? What does that tell you about Q?'

Now consider the work done from A-F. How do you measure that? How does that compare to the work done with the adiabatic path? (Q=0). What does that tell you about the work done compared to heat flow?

AM
 

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