The following problems involving chemical-reaction stoichiometry are to be solved through the use of reaction coordinates.

(a) Feed to a gas-phase reactor comprises 50 kmol·h⁻¹ of species A, and 50 kmol·h⁻¹ of species B. Two independent reactions occur:

A + B → C (I) A + C → D (II)

Analysis of the gaseous effluent shows mole fractions y_A = 0.05 and y_B =0.10.

(i) What is the reactor effluent rate in kmol·h⁻¹ ?
(ii) What are the mole fractions y_C and y_D in the effluent?

(b) Feed to a gas-phase reactor comprises 40 kmol·h⁻¹ of species A, and 40 kmol·h⁻¹ of species B. Two independent reactions occur:

A + B → C (I) A + 2B → D (II)

Analysis of the gaseous effluent shows mole fractions: y_C = 0.52 and y_D = 0.04.

Determine the rates (kmol·h⁻¹) of all species in the effluent stream.

(c) Feed to a gas-phase reactor is 100 kmol·h⁻¹ of pure species A. Two independent reactions occur:

A → B + C (I) A + B → D (II)

Reaction (I) produces valuable species C and coproduct B. The side reaction (II) produces by-product D. Analysis of the gaseous effluent shows mole fractions y_C = 0.30 and y_D = 0.10. Determine the rates (kmol·h₋₁) of all species in the effluent stream.

(d) The feed to a gas-phase reactor is 100 kmol·h⁻¹, containing 40 mol-% species A and 60 mol-% species B. Two independent reactions occur:

A + B → C (I) A + B → D + E (II)

Analysis of the gaseous effluent shows mole fractions y_C = 0.25 and y_D = 0.20. Determine:

(i) Rates in kmol·h⁻¹ of all species in the effluent stream.
(ii) Mole fractions of all species in the effluent stream.