Example 1.3:  A reaction proceeds in a reactor operated under constant pressure conditions.

The concentration of the components is as follows: CAo = 6 mol/L, CBo = 15 mol/L, CCo = 20 mol/L, CWo = 0.8 mol/L, CZo = 1.2 mol/L, and inerts, CIo = 7 mol/L.  The stoichiometric coefficients are b = 2, c = 3, w = 4, and z = 5.  If 60 % of A is converted, calculate the composition of the product.

 

Solution:  The reaction is conducted at constant pressure.

Conversion, XA = 0.6

$                    Initial moles, No = NAo + NBo + NDo + NWo + NZo + NIo = 50

$                    Number of moles produced at complete conversion of limiting reactant (Equation 1.17):

$                    Fractional volume change, ε (Equation 1.15):

$                    Stoichiometric concentration ratio of B, M (Equation 1.5):

$                    Stoichiometric concentration ratio of C, N (Equation 1.6)

$                    Stoichiometric concentration ratio of W, R (Equation 1.7)

$                    Stoichiometric concentration ratio of Z, S = 0.04 (Equation 1.8)

C                      Concentration of A, CA (Equation 1.9):

C                      Concentration of B, CB (Equation 1.10):

C                      Concentration of C, CC (Equation 1.11):

C                      Concentration of W, CW (Equation 1.12)

C                      Concentration of Z, CZ (Equation 1.13)

C                      Concentration of I, CI (Equation 1.14)