Numerical Integration Q4 Integration provides a means to compute how much mass enters or leaves a reactor over a specified time period, as in where t, and t, are the initial and final times. This formula makes intuitive sense if you recall the analogy between integration and summation. Thus the integral represents the summation of the product of flow times concentration to give the total mass entering or leaving from to. If the flow rate is constant, Q can be moved outside the integral. The outflow chemical concentration from a completely mixed reactor is measures as: Time sec 0 5 10 15 20 30 40 50 60 c 10 20 30 40 60 80 70 50 60 mg/m For an outflow of Q = 10 m3 /min, use (1) Simpson's 1/3 rule (2) Simpsons 3/8th rule to estimate the mass of chemical that exits the reactor from t = 0 to 60 min. Solve the integral using Simpson's rule for the mass entering the reactor