Limitations of the Ideal Gas Model and Deviations of Real Gases
You're inflating a balloon on a chilly winter day.
You notice that the balloon doesn’t expand as much as it would on a warm day, even though you’ve filled it with the same amount of air. Why is this?
The answer lies in the behavior of gases under different conditions.
Why Do Real Gases Deviate from Ideal Gas Behavior?
The ideal gas model is based on several simplifying assumptions, as explored in the previous section:
Gas particles have negligible volume compared to the volume of their container.
There are no intermolecular forces between gas particles.
Collisions between gas particles are perfectly elastic.
The kinetic energy of gas particles is directly proportional to their temperature in kelvin.
While these assumptions work well for many gases under standard conditions, they break down under specific circumstances.
Real gases deviate from ideal behavior primarily due to:
Intermolecular Forces: At low temperatures, attractive forces between particles become significant.
Finite Particle Volume: At high pressures, the volume occupied by gas particles themselves is no longer negligible.
1. Low Temperatures: The Role of Intermolecular Forces
At low temperatures, gas particles move more slowly because their kinetic energy decreases.
This reduced motion allows intermolecular forces, such as van der Waals forces, to become more pronounced.
These forces cause gas particles to attract each other, reducing the pressure exerted by the gas compared to what the ideal gas law predicts.
Example
Consider a gas like ammonia $NH_3$, which has strong hydrogen bonding.
At low temperatures, these intermolecular attractions can pull the particles closer together, causing the gas to deviate significantly from ideal behavior.
Analogy
Imagine a group of people walking quickly in a crowded room.
If they’re moving fast, they’re less likely to stop and interact with each other.
This is similar to gas particles at high temperatures—they move too quickly for intermolecular forces to take effect.
Now imagine the same group walking slowly.
They’re more likely to stop and interact, just as gas particles are more likely to experience intermolecular attractions at low temperatures.
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A gas has a compressibility factor Z<1 at a given condition. What does this indicate about the dominant intermolecular effect?
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How do intermolecular forces affect gas pressure at low temperatures?
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Introduction to Ideal vs Real Gases
The ideal gas model is a simplified representation of gas behavior that assumes gas particles have no volume and do not interact with each other.
Real gases deviate from this ideal behavior under certain conditions, such as low temperatures and high pressures.
AnalogyThink of the ideal gas model like a perfect frictionless slide - it works in theory, but real slides always have some friction. Similarly, real gases have interactions and volume that can't be ignored.
ExampleWhen you compress air into a bicycle pump, you're experiencing real gas behavior - the pump gets harder to press because the gas particles' volume and interactions become significant.
NoteIdeal gas behavior is most closely approximated under conditions of high temperature and low pressure.
TipRemember that the ideal gas law (PV=nRT) assumes ideal behavior - deviations occur when these assumptions are violated.