Example 1.6 A second order reaction is conducted under constant pressure at a temperature of 325 °C. Estimate the time required to achieve 60 % conversion of A. The feed contains A at a concentration of 1 mol/L. Use ε = -0.5. The reaction rate constant is given as
Solution
Conversion, XA = 0.6
Fractional volume change, ε = -0.5
Concentration of A in the feed, CAo = 1 mol/L
Temperature, T = 598.15 °K
Reaction rate constant, k:
Design group ktbCAo for second order variable volume batch reactor (Equation 1.33)
Reaction time, tb = 1.208/(0.0268(1)) = 45 s.