Cp & Cv Values: Example Problem 11.1 Explained

AI Thread Summary
The discussion revolves around understanding how the values cp=1.00 and cv=0.717 were derived in a specific example problem. The user is confused about the origin of these numbers, as they are not provided in the problem statement. The conversation also touches on the equations for molar heat capacities at constant pressure and volume, linking them to the ideal gas constant R and the degrees of freedom f. Additionally, the relationship between cp and cv for ideal gases is questioned. Clarification on these values and their derivation is sought to enhance understanding of the concepts.
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
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Their solution:
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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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