4.Identify and Name:

1. Relative Theories and Equations

Differential Form of PFR equation: 

see derivation of PFR equation

2. Systems

Volume of PFR

3. Dependent and Independent Variables

Independent: V_PFR, F_A0, F_B0, T

Dependent: conversion (X)

4. Knowns and Unknowns

Knowns: V_PFR, v_A0, v_B0, F_A0, F_B0, T, X

see values of knowns

Unknowns: Specific reaction rate constant, k
5. Inputs and Outputs

In: F_A0, F_B0

Out: F_A, F_B

Isothermal: no temperature change

No volume change on mixing

This problem is overspecified: heat capacity, viscosity and boiling point of the components.

Mole Balance on the PFR: 

evaluate liquid phase PFR equation

Rate Law:

Stoichiometry: Equal Molar theta_B = 1

step through stoichiometry to arrive at ...

Combine:

step through combination of equations

Evaluate:

rearrange to solve for k

evaluate k