Why Does the Official Key State X=2.05 Instead of X=1 in This Adiabatic Process?

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Homework Help Overview

The discussion revolves around an adiabatic process where participants are trying to understand why the official answer states X=2.05 instead of X=1. The problem is related to thermodynamics and involves concepts such as pressure, volume, and the behavior of gases under adiabatic conditions.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are exploring different interpretations of the problem and questioning the assumptions made in their calculations. Some are comparing their results with official solutions and discussing the implications of the adiabatic condition on their findings.

Discussion Status

There is an ongoing exchange of ideas, with participants sharing their calculations and questioning the validity of the official answer. Some have offered insights into potential errors in reasoning or assumptions, while others express confusion about specific terms and their implications in the context of the problem.

Contextual Notes

Participants note that the problem may be poorly worded or contain errors, as there are conflicting interpretations about the average pressure and the role of the adiabatic condition. Some express frustration over the lack of clarity in the problem statement and the official solutions.

  • #31
Sorry, you lost me on this. I think we're talking about different things. X can't be 1/a + 1.05 because 1/a has units of inverse meters?
 
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  • #32
The sum of the coefficients of the first and second term is 2.05, but yes we can't add the coefficients together, they don't have common factor.
 
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  • #33
bhupesh said:
why are we adding these terms when a is a infinitesimal quantity
We are expanding the exact expression for the work in a Taylor series to 2nd order terms in a/R. So the result is not exact; we are retaining only the first 3 terms of the expansion.
 
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