(2) (50 pts.) A gas mixture of 1mol/s of species A and 1mol/s of species B enters a reactor. No C or D is in the inlet stream to the reactor. The reversible reactions: take place in the reactor such that the product stream leaves at equilibrium. The equilibrium equations for the two reactions are given by: K1=yAyByCK2=yCyD where the y-values are mole fractions in the gas stream and the equilibrium constant values are K1=1.7 and K2=2.5. (a) Write a mole balance for the reactor using extent of reactions 1 and 2 for reactions R1 and R2, respectively.(20 pts.) A,a=Bain (b) Use the results of part (a) to express the equilibrium equations in terms of the two extents of reactions. Solve these two equations for the extents of reactions. The equations are nonlinear and have multiple solutions. Be sure to give the physically meaningful result. The problem can be solved analytically. It only requires the solution of a quadratic equation. (25 pts.)