What is first maxwell equation.
Two systems A and B are arranged so that their total volume is constant, but their individual volumes can change. Calculate the standard deviation of fluctuations in the volume in system A for constant energy. (Hint: see section 4.5 for the analogous calculation of the fluctuation ill energy.)
Consider an isolated system that contains two pieces of copper separated by an (internal) insulating wall. Initially, the first piece is at 500K and the second is at 300K. Calculate the entropy change in the system when the insulating wall is removed; assume that each piece has half a mole of copper in it. Given: Specific heat capacity of Cu is
CP = 22.6JK−1mol−1
. [Hint: S is an extensive state function].
(b) What is the entropy change of the universe ? Comment whether the process is reversible/irreversible ?
(c) Repeat your calculations for a molar heat capacity which is a function of T: CP = 22.6 + 6.28e − 03 T Jmol−1 K−1
How does the equilibrium T change for such a CP ? Can you justify it ?