Energy Distribution of Particles in a Liquid

In summary, the conversation discusses the probability of collision between a small particle in a liquid at temperature T and a particle with energy ε, as well as the average energy for collisions. There is a question about whether the Maxwell-Boltzmann distribution applies to liquids and if the Van der Waals equation can be used. The conversation concludes with doubts about the existence of a general formula for the speed distribution in liquids.
  • #1
Ahmes
78
1
If I'm a small particle in a liquid in temperature T, molecules from every direction collide in me f times per second, what is the probability that I'll collide with a particle with energy ε? What is the average energy for collisions?

I think I can rephrase it to "how many times per second there will be collision with energy ε±Δε?" or "what is the energy distribution of particles in a liquid?"

If it were gas, the answer would be given by the Maxwell-Boltzmann distribution, but it is a (very general) liquid. Can someone help?

Thanks!
 
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  • #2
I believe that the term "liquid" sends you astray. You should replace it with "fluid".
 
  • #3
I don't really get the hint...
Do you suggest that a liquid phase can be treated through the Van der Waals equation? (Not that I see how it helps so fast)
After more searching I truly doubt now that a general formula like the Maxwell-Boltzmann speed distribution exists at all... Am I wrong?
 

What is the energy distribution of particles in a liquid?

The energy distribution of particles in a liquid refers to the range of energies that the particles possess within the liquid. This distribution is influenced by factors such as temperature, pressure, and intermolecular forces.

How does temperature affect the energy distribution of particles in a liquid?

As temperature increases, the energy distribution of particles in a liquid also increases. This means that there will be a wider range of energies among the particles, with some having higher kinetic energy and others having lower kinetic energy.

What is the relationship between energy distribution and pressure in a liquid?

The energy distribution of particles in a liquid is directly related to pressure. As pressure increases, the particles will have a higher average kinetic energy and a narrower energy distribution. This is because the increased pressure forces the particles closer together, resulting in more frequent collisions and higher kinetic energy.

How do intermolecular forces impact the energy distribution of particles in a liquid?

Intermolecular forces, such as hydrogen bonding and London dispersion forces, can affect the energy distribution of particles in a liquid. These forces can either increase or decrease the range of energies among the particles, depending on their strength and type.

Why is understanding the energy distribution of particles in a liquid important?

Understanding the energy distribution of particles in a liquid is important in various fields such as chemistry, physics, and engineering. It helps explain the behavior and properties of liquids, such as their boiling and freezing points, viscosity, and surface tension. This knowledge is also crucial in designing and optimizing processes involving liquids, such as distillation and phase transitions.

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