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  1. Naked Science Forum
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  4. Some formulas for entropy
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Some formulas for entropy

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Offline Chondrally (OP)

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Some formulas for entropy
« on: 05/05/2020 08:43:58 »
The new conception for entropy involves the units kJ*Kelvin/Mol/seconds
not just kJ/Mol as previously thought.  the reason for this is that as temperature increases the entropy of a reaction would increase and if we divide by seconds,  if time is smaller for the reaction then entropy is greater and if time is larger for a reaction , entropy is less.
We need to say that time in such a reaction might be the time till 90% of a container is filled or time till 90% of a reaction is complete.

two new formulas come out of this using PV=NRT for ideal gases.
s=E* T/N/t , where E is energy, T is temperature and N is mols and t is time till 90% of the reaction is complete.

for an ideal gas,   s=E*T/(PV/RT)/t=kJ*T*R*T/t/(Newton/m^2)/m^3
=s=3/2*NkT*T/N/t=3/2*k*T^2/t
where k is Boltzlmans constant, T is temperature in Kelvin and t is time till 90% of the reaction is complete or time till 90% of the vessel is full.
s=3/2*k*T^2/t
notice for an ideal gas that it does not depend on mols or mass and it is hyperbolic in time.
for liquids or solids,   s=ET/Nt = alpha*ET^2/(PV)/t
where alpha is a measured constant dependent on the materials involved
The total entropy involved should be integrated over space and time and would need to start at t=1E-40 seconds or there abouts to get a good estimate as integrating from zero time would explode to infinity because of the singularity at zero.
the formulas should probably have a correction term of sqrt(-1)diracdelta(t) added to each formula
There is the possibility of negative entropy which can only occur if t is negative or E is negative.   if t is negative then that neans time flows backwards locally and if E is negative that means there is a loss of energy necessary to pay for the negative entropy (not recommended).  an expenditure of time or energy is necessary to create negative entropy.
Electrons are probability clouds and exist in orbitals in atoms and aren't actual particles when observed like that.  The photoelectric effect is real and there are mols of photons and mols of electrons and they appear as particles in that experiment.  that gets back to the crux of quantum mechanics and it depends on the observer and what they expect, so there must be an interaction between the scientists mind and the experiment and perhaps reality conforms to the structures in the mind of the observer.
« Last Edit: 05/05/2020 16:27:52 by Chondrally »
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Offline Bored chemist

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Re: Some formulas for entropy
« Reply #1 on: 05/05/2020 10:46:22 »
Quote from: Chondrally on 05/05/2020 08:43:58
The new conception for entropy involves the units kJ*Kelvin/Mol/seconds
Then it's wrong.
I have a cylinder full of argon in my basement.
That situation is associated with a calculable entropy from S=K log W.

How many seconds do I divide by to get your meaningless number?
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Offline hamdani yusuf

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Re: Some formulas for entropy
« Reply #2 on: 05/05/2020 10:51:20 »
Where does the 90% come from?
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Offline puppypower

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Re: Some formulas for entropy
« Reply #3 on: 05/05/2020 14:06:52 »
Entropy is a state variable, which means the value of entropy is constant for any given state. The entropy of water at 25C and 1 atmosphere is 188.8 joules/(mole K), no matter how we get there. The entropy is an artifact of a given state. In may ways, entropy defines the facade of matter at any given conditions. 

The new formula for entropy, being presented, appears to be connected to a dynamic entropy variable, instead of a static entropy variable, as shown above. This new formula could be used to  express dynamic changes between states.

Say we had one mole of water, in each of two glasses. We place one in a freezer at -20C and the other in a freezer at -200C, The change of entropy, of the same amount of water, between these two final states, would take time=t1 and t2, Each final state will have a predefined static fixed value of entropy, that is characteristic of this state. The speed of change will be measure of the free energy change per unit of time.

I coined the term entropy potential or entropic potential. This is the entropy based potential, within matter, when a change of state is possible and it can occur spontaneously.  I can place a salt tablet in water at 25C. The entropy potential is the difference between the initial and final states of the water and salt.  It is the difference in entropy between the water plus tablet, and water plus the salt when it is totally dissolved and the solution is uniform. This may take minutes to hours to express the entire entropic potential.

If you wanted to use entropic potential as driving free energy source, you would need to find ways to get the entropy potential to express itself in the shortest time. Or if we needed a steady, but tiny source of free energy gain or loss, we can tweak the time expression from a state. This could be useful for applied science and is important to the living state.
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