The complex reactions involved in the oxidation of formaldehyde to formic acid over a Vanadium titanium oxide

Question:

The complex reactions involved in the oxidation of formaldehyde to formic acid over a Vanadium titanium oxide catalyst are shown below. Each reaction follows an elementary rate law.

Sketch the trends or results you expect before working out the details of the problem.
Let A = HCHO, B = O₂, C = HCOOH, D = HCOOCH₃, E = CO, W = H₂O, and G = CH₃OH. The entering flow rates are F_A0 = 10 mol/s and F_B0 = 5 mol/s, and υ₀ = 100 dm³/s. At a total entering concentration C_T0 = 0.147 mol/dm³, the suggested reactor volume is 1000 dm³.
Additional information:
At 300 K
k1=0.014(dm3mol)1/2/s,k=0.007dm3mol⋅sk3=0.014/s,k4=0.45dm3mol⋅s

a. Plot the molar flow rates of each species along the volume (length) of the reactor on the same figure and then analyze why the profiles look the way they do.
b. Plot and analyze Y˜C,S˜A/E,S˜C/D,and S˜D/G along the length of the reactor. Note and explain any maximums and the volume at which they occur.
c. Plot and analyze the overall HCOOH yield and overall selectivity of HCOH to CO, of HCOOCH₃ to CH₃OH, and of HCOOH to HCOOCH₃ as a function of the ΘO₂.
Suggest some conditions to best produce formic acid. Write a paragraph describing what you find.
d. Compare your plot in part (a) with a similar plot when pressure drop is taken into account with α = 0.002 dm^–3. Note any unusual differences between parts (a) and (d).
e. Suppose that E₁ = 10000 cal/mol, E₂ = 30000 cal/mol, E₃ = 20000 cal/mol, and E₄ = 10000 cal/mol, what temperature would you recommend for a 1000-dm³PFR?