The following liquid phase reaction A+B R is run by slowly adding B in a semi batch reactor filled with A at C 10. The reaction is elementary. Assume constant density The initial volume is 500 dm ki (rate constant for forward reaction) = -54 M sec K. (equilibrium constant) = 2.3 M FB, in = 1 mol/sec CB, in = 0.25M CAO = 0.5M a. Derive an expression for the liquid volume in the reactor as a function of time. b. Write the expressions for N, Ng, and N, involving conversion of A. c. Plot the conversion of A vs time and determine the value of the equilibrium conversion of A from inspection of your plot (hint: what is dX /dt at very large times). d. Write an expression for K in terms of equilibrium conversion and verify the value for the equilibrium constant given to you in the problem statement