# If entropy is a state function, how can it keep on increasing?

1. Jan 10, 2013

### champu123

I just have this confusion which is completely eating me up. They say entropy of a system is a state property. Then they say that for a completely isolated system, entropy either increases or remains zero depending on the process being irreversible or reversible.

So, let's say for an isolated system I go from A to B thru a reversible path then entropy is zero. And if I go thru an irreversible path, it's something else. But if entropy is a state property, how can it be different for the two paths between same points? This completely makes no sense to me.

2. Jan 10, 2013

### DrDu

3. Jan 10, 2013

Plot the state of the system using Entropy and Temperature as coordinates.

4. Jan 11, 2013

### champu123

Thanks for the reply. That cleared up some confusion. I also found some long discussion here: https://www.physicsforums.com/showthread.php?t=313396. This thread poses the same question as my confusion.

Hence, I'd like to quote the above mentioned thread and answer the question posted in above thread based on my understanding. In the above thread, the user say:

My answer: The point here is that if the process occurs irreversibly it takes the system to a different state then when it'd have been reversible.
Now, if I say that the system is at state A, and perfectly isolated. Now, if there is a reversible process which takes it to state B. So, are you saying that it's impossible to design an irreversible process that can take the system to state B? By using an irreversible process, you could take it another state B' or B'' but not B. I think the answer should be yes (i.e. it'd be impossible). And in that case it's a very interesting conclusion.

So now tell me is the conclusion indeed true??

Last edited: Jan 11, 2013
5. Jan 11, 2013

### DrDu

If you mean with perfectly isolated that the system is thermally isolated but can also not do any work (or that no work can be done on the system) then you are right, the state cannot change at all.
However, usually with isolated one understands only thermally isolated, so that work can still be done.

6. Jan 11, 2013