Real Gas vs Ideal Gas: Compressibility Ratio

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SUMMARY

The compressibility ratio of a gas, defined by the equation PV/nRT, decreases when the attractive forces between gas molecules increase. This occurs because increased molecular interactions reduce the pressure exerted on the container, leading to a lower compressibility ratio. Although the real gas equation indicates that real volume increases and real pressure decreases, it is essential to consider temperature changes when analyzing these variations. Thus, the relationship between pressure, volume, and temperature is critical in understanding compressibility in real gases.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Familiarity with real gas equations
  • Knowledge of thermodynamic principles
  • Basic concepts of molecular interactions
NEXT STEPS
  • Study the Van der Waals equation for real gases
  • Explore the effects of temperature on gas behavior
  • Investigate the concept of compressibility factor (Z)
  • Learn about the relationship between intermolecular forces and gas properties
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Students of thermodynamics, physicists, and chemists interested in the behavior of gases under varying conditions, particularly those studying real gas behavior and compressibility.

101nancyma
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The compressibility ratio of a gas is PV/nRT. What happen to the compressibility ratio if the attration force between the gas molecules increase? The answer says it decreases because the more molecules interact with each other, so the pressure they exert on the container decreases, thus compressibility ratio decreases. The part I don't understand is according to the real gas equation, real volume increases, and real pressure decreases. If it is true, then shouldn't the compressibility ration remain the same?
 
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You must note that though what you have thought is true, you have forgotten that when there is a change (delta) in the pressure and volume, you have to take into account the temperature change as well.
 

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