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, X_A = 0.6

Fractional volume change, ε = -0.5

Concentration of A in the feed, C_Ao = 1 mol/L

Temperature, T = 598.15 °K

Reaction rate constant, k:

1. Design group kt_bC_Ao for second order variable volume batch reactor (Equation 1.33)

2. Reaction time, t_b = 1.208/(0.0268(1)) = 45 s.