00:03
Here, you look at a reversible processes in this question.
00:08
So what is the relationship between the chemical potential gives free energy? for sync conferences, well, you know, the chemical potential basically is given by the chemical potential basically is simply the change and it gives free energy.
00:23
If you add a unit amount of material to the system, right? so in other words, the chemical potential is simply the apportion derivative of the gipfranage, which is respect to the amount, to the amount of matter, to the most matter, right, to number of molecules of matter.
00:42
Or in other words, chemical potential is the gipis for energy correspond to one molecule, right? if you add one molecule to the system, the keeps for energy changes by, let's say, a month, in that amount gives you the chemical potential, right? and the second question is you look at ice and you look at, it's just look at a kilogram of ice in some contact with some environment, at zero temperature, it may as to become water, and it's supposed the surrounding environment remains a similar to above zero temperature.
01:13
So the emerging process actually takes a lot of time.
01:16
Now much heat is supplied.
01:17
Well, the heat is supplied of vos is given by the latin heat of ice and multiplied by the mass.
01:26
Ice, right? so you are given the latent heat of melting, and then you can just multiply by one kilogram of ice, then you get heat supplied.
01:36
How much does the intrepid of the system is simply because in this case, we can actually, this process is sort of, you know, reversible because the process goes very slow, it's adabatic.
01:51
In any moment, you can think of, you can think that the system are actually kind of in a, is in some of that, some of the dynamic equilibrium because the system, you know, the change, any change in the system can be quickly, um, equilitated, it's as if the system has, has, has, has, much faster than, uh, than any other time scales, right? so it's kind of reversible process.
02:18
And therefore, the intro bit change is simply given by the, the heat absorbed, and divided by temperature, which is zero celsius degrees, that is 273 calvins, right? and then the heat, it's just the latin heat times 1 kilogram.
02:32
So divide the heat by the temperature, you get the introper change.
02:38
Now, if you look at the latest system, initially content is 6 kilograms of water and 4 kilograms of ice.
02:46
And after some long time, and the ice would have been melted, right? the ice would have been melted and you probably would still have some water.
02:58
And as a result, and water ice were actually kind of reaches some dynamic equilibrium brain.
03:05
And you can calculate how much of the ice that would have been melted, right? so basically, suppose all of the ice would have been melted, then you can imagine how much energy would have been supplied.
03:20
That would be just the latin heat this much and multiplied by four kilograms.
03:25
Of ice and this is a lot of energy.
03:27
This energy is sufficient to melt the water, right? to melt all the water.
03:32
The water is at a room temperature.
03:33
You can easily bring down six kilograms.
03:36
This is much more energy needed to bring down the, to bring down the water to zero temperature, actually, okay? to zero temperature.
03:46
So there will be some ice left.
03:49
You can work out there by first calculated how much, but first calculate how much energy is needed to bring down how much energy needs to be removed, how much energy needs to be removed from the water to bring temperature to the 0, 6 degrees.
04:11
And you can work out that and then you just need to calculate how much latin heat of ice you need to absorb that much heat...