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05:13
Hi @JohnRennie
Hi :-)
I am unable to understand how is it possible that whatever amount of solution I take out the salt content is always 20%.
If you put solid salt into water the salt doesn't just sit there - it dissolves in the water. Yes?
It would be really weird if you had a salt solution and it turned back into pure water and a pile of salt at the bottom.
So it's natural for things to mix together and unnatural for them to separate again. Yes?
05:24
Yes
That's because the lowest energy state for the solution is for the salt to be even distributed so the salt concentration is the same everywhere.
If you had a region in the solution where the concentration was 19% then salt would mix in from the rest of the solution to bring it back to 20% again.
So the salt concentration is going to be 20% everywhere in the solution.
@JohnRennie even distributed?
Evenly distributed means the density of the salt molecules, i.e. the number of salt molecules per unit volume, is the same everywhere.
How does density of salt molecules affects the energy state of solution?
05:39
This get's a bit complicated, but the energy depends on a property called entropy and the entropy depends on how the salt molecules are distributed.
Oh!
Why do you say salt molecules? Doesn’t the salt molecules split into two ions upon dissolving?
Yes, I should have said sodium and chloride ions rather than salt molecules. But it also applies to things like sugar that don't dissociate in solution but stay as molecules.
So number of salt molecules per unit volume has to be a certain number to reach solution stability.
Well they have to be evenly distributed so the number per unit volume has to be the same everywhere.
Let’s say If they are not evenly distributed why does the salt will move to make it 20% everywhere?
05:51
A molecule in solution moves around randomly.
If the concentration is the same everywhere this random movement doesn't have any effect because all the molecules move around randomly and on average the number of molecules per unit volume remains constant.
But suppose you have a region where the concentration is low. The rest of the solution around the low region has a higher concentration. That means on average more molecules move into that region than move out of it, so the random motion increases the number of molecules in the low concentration region.
The result is that the concentration rises until it becomes the same as the solution around it.
You sound like salt molecules and water molecules stays apart and move around randomly and don’t bond.
Yes, that's what happens.
But dissolving means nacl breaks into na and cl and bonds with hoh . Yes?
They don't bond to water molecules.
They just float around in between water molecules.
So you mean to say in a unit volume there are equal number of na and cl ions ?
06:05
Yes
06:36
@JohnRennie I have a silly question.
Force makes an object accelerate. That’s because F=ma. Motion depends on this equation. So what if there is a force and we don’t solve the equation. Will there be no acceleration?
If there is no force then F = 0
So we get the equation:
0 = ma
And we know that the mass 𝑚 is not zero, so the only way this equation can be true is if 𝑎 = 0
That is, if F = 0 then that must mean 𝑎 = 0
I am asking if motion depends on this eqn and we don’t solve the equation what will happen? Why are we taking the extra step to solve the equation if say Force is given ?
Remember that the equation is just a way of describing the real world, and the real world doesn't care whether you solve equations or not.
If you apply a force to an object it will start accelerating whether or not you're solving the equation that describes its motion.
06:57
So by knowing F=ma we can understand and predict the details of the motion. Why this is happening. But not having the eqn in our inventory does not mean nature will stop behaving the way it does. Nature does not depend on this equation. We cannot say this is happening because of this equation.
Yes, exactly. The equation is just a description of what happens.
 
2 hours later…
08:51
@JohnRennie Hi !
Hi :-)
A wavefunction changes only if there is a change in the energy of the particle right ?
it is pssible for two different wave functions to have the same energy ...
e.g. in a hydrogen atom 2s and 2p have the same energy. Yes?
09:01
@JohnRennie I remember you saying when a light ray is passed through a slit, it wavefunction changes (causing photons to deflect by an angle) so we are seeing interference pattern, But how can a light wave simply deflect because it is passing through a slit ?
@JohnRennie Yes
I'm a bit busy at the moment. Can we do this later?
Yes :-)
Please ping me when you are free :-)
Thanks. Bye :-)

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