Adiabatic process of monatomic gas problem

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SUMMARY

The discussion focuses on calculating the temperature change of an ideal monatomic gas during an adiabatic process when 4.0 kJ of work is done on each mole of gas. The internal energy change is determined using the equation U = (3/2) NkT, where U represents internal energy, N is the number of moles, k is the Boltzmann constant, and T is the temperature. The participants express uncertainty regarding the necessity of volume and pressure data for the calculations, indicating that the internal energy relationship is sufficient for solving the problem.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with adiabatic processes in thermodynamics
  • Knowledge of internal energy equations for ideal gases
  • Basic principles of work done on gases
NEXT STEPS
  • Study the derivation of the adiabatic process equations for ideal gases
  • Learn about the differences in internal energy calculations for monatomic vs. diatomic gases
  • Explore the implications of work done on gases in thermodynamic systems
  • Investigate the role of pressure and volume in adiabatic processes
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone interested in the behavior of gases under adiabatic conditions.

athula kumara
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Homework Statement



By how much does the temperature of an ideal monatomic gas change in an adiabatic process in which 4.0kJ of work are done on each mole of gas?

By how much does the temperature of an ideal diatomic gas (with molecular rotation but no vibration) change in an adiabatic process in which 4.0kJof work are done on each mole of gas?

Homework Equations

The Attempt at a Solution

 
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hi my problem is this information enough to do it. I don't know volume or pressure
 
athula kumara said:
hi my problem is this information enough to do it. I don't know volume or pressure

How is the internal energy of an ideal monoatomic gas related to the temperature?
How much does the internal energy of one mole ideal gas change in an adiabatic process if 4kJ work is done on the gas?
 
U=3/2 NkT, ok I got it.
I'm going to substitute values in this equation
thanks
 

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