Consider the following chemical reaction: C(graphite) + H2O(g) <-> CO(g) + H2(g) K = 2.52 at 1000 K. a) Lets imagine that I place 1 mole each of H2O(g), CO(g), and H2(g) in a piston at 1000 K. I fix the external pressure at 1 bar. Then I add a very small piece of graphite to the piston without changing temperature or pressure. What will happen in the piston? What will be the final state of the system? b) Now imagine repeating part a with different external pressures. What external pressure will ensure that no change will occur when the very small piece of graphite is added? State any assumptions made in working this problem. c) When this reaction is in equilibrium, what is the number of independent intensive variables?