A single-plate absorption column Lx, + Gy, Lx - Gy dx de = y where x and y are mole fractions of the solute in the liquid and gas phases, respectively, 0 is time, h is the liquid holdup, and L and G are the liquid and gas flow rates, respectively. The quantities h, L, G, x,, and y, are prescribed constants, with the last two representing compositions of the two feed streams. Furthermore, let the equilibrium relation be is described by the following equation: OLY 1 + ( - 1)x where a > 0 is the constant relative volatility. Determine the number of steady states and their stability character.