Thermodynamics -- mono and diatomic gases

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SUMMARY

The discussion focuses on the thermodynamic properties of monoatomic and diatomic gases, specifically their molar heat capacities at constant volume (Cv) and constant pressure (Cp). The molar heat capacity for a monoatomic gas is established as 3/2 R, while for a diatomic gas, it is 7/2 R. The relationship between heat capacity and temperature change is highlighted, indicating that diatomic gases will experience a lower temperature change than monoatomic gases when subjected to the same amount of heat. The conclusion confirms that processes involving monoatomic gases are labeled 1 and 3, while those involving diatomic gases are labeled 2 and 4.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with the concept of degrees of freedom in thermodynamics
  • Knowledge of molar heat capacities (Cv and Cp)
  • Basic principles of thermodynamic processes
NEXT STEPS
  • Study the derivation of the ideal gas law and its applications
  • Learn about the equipartition theorem and its relation to degrees of freedom
  • Explore the implications of heat capacity on thermodynamic processes
  • Investigate real gas behavior and deviations from ideal gas assumptions
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Students studying thermodynamics, educators teaching gas laws, and professionals in physics or engineering fields focusing on heat transfer and thermodynamic systems.

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Homework Statement


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The 4 processes involve one mole of either mono- or di-atomic gas with the same amount of heat (absorbed or discharged)

•Which belong to the mono and which to the diatomic gas?

Homework Equations


i don't know which equations I should use and how start solving it..
I started thinking by taking into consideration the degrees of freedom of each but it didn't work
 
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What is the molar heat capacity at constant volume for a monoatomic gas? What is the molar heat capactiy at constant volume for a diatomic gas?
 
Chestermiller said:
What is the molar heat capacity at constant volume for a monoatomic gas? What is the molar heat capactiy at constant volume for a diatomic gas?
(molar heat capacity at constant volume=f/2 R where f is then number of degrees of freedom) I think it should be 3/2R for monoatomic and 7/2Rfor diatomic and delta T is inversly proportional to heat capacity. Similarly for heat capacity at constant pressure (Cp=R+Cv) so diatomic will get a lower temprature than monoatomic ones so 1,3 monoatomic and 2,4 diatomic
Correct?
 

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