Well, first of all thanks for replying.
I get it a little better now, but still not good:
1) "A reversible process is one that can be reversed with an infinitessimal change in conditions. It is an ideal that can be approximated but never achieved."
-This is also the definition in my book.
I read it over and over again and it just means nothing to me:
Why would such a process be reversible?
2) would you all agree that:
"processes are reversible if there is no heat gain/loss to the environment during the "go" and "return" processes?"
Because this definition kind of makes sense to me, in the way that, if there is now heat produced/lost, then total entropy variation is DS=0 and since heat is the less organised form of work available(and correct me if i am wrong: irrecuperable) then we can say that there was no energy lost while doing work, in a irrecuperable form.
--->Is that correct?should I learn it that way?
(if there is any error, please discuss it).
3)Reversibility, irreversibility and lost opportunity to do work:
Suppose we have a thermally insulated cylinder that holds an ideal gas.The gas is contained by a thermally insulated massles piston with a stack of many small weights on top of it.Initially the system is at mechanical and thermal equilibrium.
consider the following three processes:
-1-All of the weights are removed from the piston instantaneously and the gas expands until its volume is increased by a factor of four.
-2-Half of the small weights are removed and the system is allowd to double its volume, then the remaining half are removed from the piston and the gas is allowed to expand unti its volume is again doubled.
-3-Each small weight is removed from the piston one at a time, so that the pressure inside the cylinder is always in equilibrium with the weight on top of the piston.When the last weight is removed, the volume has increased by a factor of four.
---->>>>According to the authors of this, "Maximum work (proportional to the are under the curve in a ,force-volume graph,)is obtained for the quasi static expansion=3process described"
It does look like the third process has the "maximum area under the curve", but, to my mind, in the first two processes, work has gone part into giving our piston a kinetik energy which in not the case in a "one at a time" removing weights process.
So to my work is at least equal(if no heat was produced...)
-Now, where am I wrong?I just don't get this and seems to be the most explicit example..