Consider a mixture of two ideal (non-interacting) gases in thermodynamic equilibrium in a container of volume at tempera
Posted: Wed May 04, 2022 1:25 pm
Consider a mixture of two ideal (non-interacting) gases in thermodynamic equilibrium in a container of volume at temperature T, like that illustrated below. Let , and be the fixed particle numbers of the two gases. Within each gas the particles are indistinguishable, but particles of one gas are distinguishable from particles of the other gas. In particular, they have different masses w, and m.. implying different thermal de Broglie wavelengths and single particle canonical partition functions: 5-14 DINING He He V.T (a) Calculate the canonical partition function 2 and the Helmholtz free energy of the (W + M-particle mixture, approximating lig) Vliz N, kg M- - .. [1 marks] (b) Calculate the internal energy E and the entropy s of the mixture. What is the condition of constant entropy? Id marks (c) Calculate the pressure of the mixture, and relate it to the pressures and P of each gas in isolation (as illustrated below). (4 marke He