Answer Happy

e 2. Let us consider a semi-open two-component system in volume V at temperature T. The system is open with respect to component A, but closed with respect to B. Let (E, V, NA, NB) denote the degeneracy of the energy level E of the system with NA particles of type A and NB particles of type B in volume V. The partition function T for the T - P - MA – Ng ensemble is given by Y(T, PMA, NB) = IN D, D 8E,V, NA, N3) e-BPV -BE SNAHA a) Write down the joint probability fvne that a system with given values of T, P, HA and NB has NA particles of type A, volume V and energy E. b) What is the characteristic thermodynamic potential for this ensemble? Find the relation between the partition function I and the characteristic thermodynamic potential of the en- semble. Hint: Use the maximum-term approrimation. That is, the sum over NAV, E in the expression for r is dominated by the most probable values NAV* E*. c) Give the expressions for S, V, ÑA and MB for this ensemble in terms of T.