Thermodynamic equipartition of energy theorem - application to life

AI Thread Summary
To determine the probability of a water molecule passing through a 4kT energy barrier, one must consider the average energy of the water molecules, which is influenced by their degrees of freedom. Water molecules in the SPC/E model have three translational and three rotational degrees of freedom, leading to an average energy of 3/2kT for translational motion and kT for rotational motion at 320K. The presence of ions in the system also affects the overall energy, with their average energy calculated as 3/2kT. Additionally, factors like pressure and fluid interactions should be considered, as they complicate the dynamics of molecular movement. Utilizing the Maxwell-Boltzmann Distribution may provide a rough estimate for the behavior of water molecules in this context.
trelek2
Messages
86
Reaction score
0
hi, I'm simulating a system of molecules (water) and in order to pass through a barrier they have to overcome an energy barrier of 4kT. What is the probability of a water molecule passing the barrier or perhaps what is the average energy of a water molecule in my system?

I know it's 1/2 *kT per each degree of freedom, but how many degrees of freedom do my water molecules have? (I'm simulating at 320K, water molecules are SPC/E).

Oh, and i also have ions in my system. What is their average energy? 3/2kT?

Thanks for any insight!
 
Science news on Phys.org
Did you mean degrees of freedom per water molecule?

http://www.pha.jhu.edu/~broholm/l37/node5.html

Perhaps you should also take into consideration the pressure and pressure difference in the water?
 
Last edited by a moderator:
It's not that trivial for fluids due to interactions. You can basically look at Maxwell-Boltzman Distribution which deals with something very similar for gases, and you might be able to use it as a rough estimate for water, but don't expect anything particularly good out of it.
 
I need to calculate the amount of water condensed from a DX cooling coil per hour given the size of the expansion coil (the total condensing surface area), the incoming air temperature, the amount of air flow from the fan, the BTU capacity of the compressor and the incoming air humidity. There are lots of condenser calculators around but they all need the air flow and incoming and outgoing humidity and then give a total volume of condensed water but I need more than that. The size of the...
Thread 'Why work is PdV and not (P+dP)dV in an isothermal process?'
Let's say we have a cylinder of volume V1 with a frictionless movable piston and some gas trapped inside with pressure P1 and temperature T1. On top of the piston lay some small pebbles that add weight and essentially create the pressure P1. Also the system is inside a reservoir of water that keeps its temperature constant at T1. The system is in equilibrium at V1, P1, T1. Now let's say i put another very small pebble on top of the piston (0,00001kg) and after some seconds the system...
Back
Top