Calculate Rate of Formation of Compound in Isothermal PFR Feed

Question

The following set of gas-phase reactions is expected to occur in an isothermal PFR fed a mixture of compounds A and B.

1.    A + B → 2C
2.    2C → A + B
3.    A + B → D
4.    A + C → E
5.    D + E → F + G
6.    3C + F → H + C
7.    G + ½ C → I + J

What is the net rate of formation of C?

a) r_C = 2r₁ + r₆
b) r_C = r₁ – r₂ – r₄ – r₆ – r₇
c) r_C = 2r₁ –2r₂ – r₄ – 2r₆ – ½r₇
d) r_C = 2r₁ –2r₂ – r₄ – 3r₆ – ½r₇
e) r_C = kC_C
f) r_C = ½r₁ – ½r₂ – r₄ –1/3r₆ + 2r₇

Summary

The short answer question belongs to Chemical Engineering and the question is about gas phase reactions expected to occur in isothermal PFR fed into a mixture of two compounds.