Cp & Cv Values: Example Problem 11.1 Explained

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SUMMARY

The discussion focuses on the calculation of specific heat capacities, cp and cv, in Example Problem 11.1. The values cp=1.00 and cv=0.717 are derived using the equations Q=m*cp*delta T and Q=n*cv*delta T, with the constants provided in the problem. The calculations utilize the ideal gas constant R and the degrees of freedom f to establish relationships between cp and cv for ideal gases.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat capacities.
  • Familiarity with the ideal gas law and its constants.
  • Knowledge of the relationship between molar heat capacities at constant pressure and volume.
  • Basic algebra for manipulating equations related to heat transfer.
NEXT STEPS
  • Study the derivation of the molar heat capacity equations for ideal gases.
  • Explore the concept of degrees of freedom in thermodynamics.
  • Learn about the ideal gas constant R and its applications in thermodynamic calculations.
  • Investigate the differences between cp and cv in various thermodynamic processes.
USEFUL FOR

This discussion is beneficial for students and professionals in thermodynamics, particularly those studying heat transfer and ideal gas behavior.

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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