I am beginning to see the difference. Thanks for the explanation.
"Spontaneous processes" ( http://en.wikipedia.org/wiki/Spontaneous_process ) would not be reversible because there is increased entropy involved.
A "reversible process" ( http://en.wikipedia.org/wiki/Reversi...hermodynamics) ) is a "quasistatic process" ( http://en.wikipedia.org/wiki/Quasistatic_processes ). Here is one quote from the reversible article:
Since it would take an infinite amount of time for the reversible process to finish, perfectly reversible processes are impossible.
Although I don't understand the "infinite amount of time" part, it looks like reversible processes generally don't exist.