Liquid phase reaction: X > Y + Z r = kC_X k = 0.0025 I/min Reactor initially contains 10 L of X with C_X = 10 mol/L. The reactor is fed with a stream of X with C_X = 10 mol/L and a flow rate of 2 L/min. Once the reactor reached 50 L, the feed is turn off. The reaction proceeds until C_X = 0.1 mol/L. For the 1^st stage, semi-batch, what are the differential equations needed to solve? For the 2^nd stage, batch, develop expressions for C_A, C_B, and V_R as a function of time. What time is the reactor filled?What are C_X and C_Y at time (t*)? What time does C_X = C_Y?