Why does the ideal gas state equation fail at high pressures for real gases?

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SUMMARY

The ideal gas law fails at high pressures for real gases due to intermolecular forces and the compressibility of non-ideal gases. At elevated pressures, the interactions between gas molecules become significant, leading to deviations from ideal behavior. Additionally, quantum effects, particularly the Pauli exclusion principle and the indistinguishability of particles, further complicate the behavior of gases under these conditions.

PREREQUISITES
  • Understanding of the ideal gas law and its assumptions
  • Knowledge of intermolecular forces and their effects on gas behavior
  • Familiarity with quantum mechanics, specifically the Pauli exclusion principle
  • Concept of compressibility in relation to gas states
NEXT STEPS
  • Research the Van der Waals equation and its application to real gases
  • Study the effects of temperature and pressure on gas behavior
  • Explore quantum statistical mechanics and its implications for gas particles
  • Investigate the concept of compressibility factors in thermodynamics
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Students and professionals in physics, chemistry, and engineering fields, particularly those studying thermodynamics and gas behavior under varying pressure conditions.

Bugsy23
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Why does the ideal gas state equation fail at high pressures for real gases? I think it has something to do with the forces between the molecules in the gas, but I'm not sure the exact reason
 
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It has to do with the compressibility of non-ideal gases which is due to some extent to the forces between molecules.

For really high pressures it also has to do with quantum effects due to the properties of indistinguishable particles and the Pauli exclusion principle.
 

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