Consider a reservoir with temperature, pressure, and chemical potential T, p, µ, respectively. Initially, its entropy is S0. Then a small system interacts with it, removing energy, volume, and particles ?E, ?V, ?N. In terms of the parameters S0, T, p, µ, ?E, ?V, ?N, find
(a) the reservoir's new entropy SR,
(b) the number of states accessible to the reservoir now,
(c) the probability, to an overall multiplicative constant factor, that the small system is in the one state that takes ?E, ?V, ?N from the reservoir