Cp & Cv Values: Example Problem 11.1 Explained

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Discussion Overview

The discussion revolves around understanding the values of molar heat capacities at constant pressure (cp) and constant volume (cv) as presented in example problem 11.1. Participants are trying to clarify the derivation of these values and their relation to the ideal gas law and specific equations.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the source of the values cp=1.00 and cv=0.717, seeking clarification on their derivation.
  • Another participant provides a calculation: (3.5)(8.314)/29=1.00, but does not explain the origin of the numbers used.
  • A subsequent post reiterates the calculation but also asks for clarification on the values used for cv.
  • A different participant introduces a question regarding the relationship between molar heat capacities and the ideal gas constant, suggesting a theoretical exploration of the topic.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the derivation of cp and cv values, with multiple questions and calculations presented without resolution.

Contextual Notes

The discussion includes assumptions about the ideal gas behavior and the specific conditions under which the heat capacities are defined, but these assumptions are not fully explored or agreed upon.

williamcarter
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Hello, I tried attempting the following example problem 11.1(please see below), however I don't quite get from where they got cp=1.00 and cv=0.717?
I know that Q=m*cp*delta T=> cp=Q/(m*delta T)
Q=n*cv*delta T=>cv=Q/(n*deltaT)

Problem statement
Capture.PNG
Their solution:
Capture2.PNG


How did they manage to get for cp=1.00 and cv=0.717?

Thank you
 
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(3.5)(8.314)/29=1.00
 
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Chestermiller said:
(3.5)(8.314)/29=1.00
Thank you , but how did you get these numbers from? They are not given in the statement of the problem.
What about cv?
 
In terms of the ideal gas constant R and the number of degrees of freedom f, what is the equation for the molar heat capacity at constant volume of an ideal gas? In terms of the ideal gas constant R, what is the relationship between the molar heat capacity at constant pressure and the molar heat capacity at constant volume of an ideal gas?
 
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