Acetic acid vapor dimerizes according to 2A₁ ⇆ A₂. Assume that no higher-order associations occur. Supposing that a value for Ka is available, and that the monomers and dimers behave as an ideal gas, derive an expression for y_A1 in terms of P and Ka. Then develop an expression for PV/n_oRT in terms of y_A1, where n_o is the superficial number of moles neglecting dimerization. Write n_o /n_T in terms of y_A1 where n_T = n₁ = n₂.