Bonus: a). [4 points] Methanol is formed from carbon monoxide and hydrogen in the gas phase reaction: CO + 2H2 \leftrightarrow CH3OH. For simplicity, let the reaction be A + 2B \leftrightarrow C The equilibrium constant at temperature T, K(T), expressed in terms of the mole fractions of the reactive species and the total pressure is given by K(T) = y_c / \{(y_A \cdot y_B^2)P^2\} Suppose the initial feed to the reactor contained 1 mole A, 1 mole B, and no C, write expressions for the moles (n_A, n_B, n_C) and mole fractions (y_A, y_B, and y_C) of each species in terms of the extent of reaction \epsilon at equilibrium. Then, express the equilibrium constant K(T) in terms of only \epsilon and P.