Consider a homogeneous mixture of two ideal monatomic gases, at temperature T ,

Consider a homogeneous mixture of two ideal monatomic gases, at temperature T , Suppose that there are N_A particles of gas A and N_B particles of gas B. Write an expression for the grand partition function as- sociated with this system (it should depend on T , V , and the chemical potentials µA and µB). In the classical limit, obtain ex- pressions for the canonical partition function, the Helmholtz free energy 5 , and the pressure p of the gas. Show that p = p_A + p_B (Dalton's law), where p_A and p_B are the partial pressures of A and B, respectively.