Question

Methane (100 mol s?¹), ethane (20 mol s?¹), and steam (200 mol s?¹) are fed into a reforming reactor at 300°C. At the outlet (1100 K) 90% methane and ethane conversions are achieved, in addition you determine a steam flow rate of 44 mol s?¹. You also know, that the outlet gas contains hydrogen, carbon monoxide and carbon dioxide. Calculate: a) Outlet flow rate of methane, ethane, hydrogen, carbon monoxide and carbon dioxide. (Use the Element species matrix). b) Determine a set of independent chemical reactions with the assumption that methane (reactant), ethane (reactant), and carbon dioxide (product) are independent species (i.e., they do not exist in the same chemical reaction). c) Standard heat of reactions independent reactions (?H?j? in kJ mol?¹). d) Extent of the independent reactions (?j in mol s?¹). e) Total heat flow rate transferred from or to the reactor (MW). Prepare an inlet and outlet table for flow rates and enthalpies. Table 1: Heat capacity data for Problem 1 (Reference DIPPR Project 801) A [J mol?¹ K?¹] B [J mol?¹ K?¹] C [K] D [J mol?¹ K?¹] E [K] CH4 33.30 79.93 2087 41.60 992.0 C2H6 40.33 134.22 1656 73.22 752.9 H2O (v) 33.36 26.79 2611 8.90 1169.0 CO 29.11 8.77 3085 8.46 1538.2 CO2 29.37 34.54 1428 26.40 588.0 H2 27.62 9.56 2466 3.76 567.6 Heat capacity correlation: cp = A + B [ (C/T) / sinh(C/T) ]² + D [ (E/T) / cosh(E/T) ]² [J mol?¹ K?¹]

          Methane (100 mol s?¹), ethane (20 mol s?¹), and steam (200 mol s?¹) are fed into a reforming reactor at 300°C. At the outlet (1100 K) 90% methane and ethane conversions are achieved, in addition you determine a steam flow rate of 44 mol s?¹. You also know, that the outlet gas contains hydrogen, carbon monoxide and carbon dioxide. Calculate:
a) Outlet flow rate of methane, ethane, hydrogen, carbon monoxide and carbon dioxide. (Use the Element species matrix).
b) Determine a set of independent chemical reactions with the assumption that methane (reactant), ethane (reactant), and carbon dioxide (product) are independent species (i.e., they do not exist in the same chemical reaction).
c) Standard heat of reactions independent reactions (?H?j? in kJ mol?¹).
d) Extent of the independent reactions (?j in mol s?¹).
e) Total heat flow rate transferred from or to the reactor (MW). Prepare an inlet and outlet table for flow rates and enthalpies.

Table 1: Heat capacity data for Problem 1 (Reference DIPPR Project 801)

          A [J mol?¹ K?¹]  B [J mol?¹ K?¹]  C [K]  D [J mol?¹ K?¹]  E [K]
CH4       33.30            79.93            2087   41.60            992.0
C2H6      40.33            134.22           1656   73.22            752.9
H2O (v)   33.36            26.79            2611   8.90             1169.0
CO        29.11            8.77             3085   8.46             1538.2
CO2       29.37            34.54            1428   26.40            588.0
H2        27.62            9.56             2466   3.76             567.6

Heat capacity correlation: cp = A + B [ (C/T) / sinh(C/T) ]² + D [ (E/T) / cosh(E/T) ]² [J mol?¹ K?¹]

Methane (100 mol s?¹), ethane (20 mol s?¹), and steam (200 mol s?¹) are fed into a reforming reactor at 300°C. At the outlet (1100 K) 90% methane and ethane conversions are achieved, in addition you determine a steam flow rate of 44 mol s?¹. You also know, that the outlet gas contains hydrogen, carbon monoxide and carbon dioxide. Calculate:
a) Outlet flow rate of methane, ethane, hydrogen, carbon monoxide and carbon dioxide. (Use the Element species matrix).
b) Determine a set of independent chemical reactions with the assumption that methane (reactant), ethane (reactant), and carbon dioxide (product) are independent species (i.e., they do not exist in the same chemical reaction).
c) Standard heat of reactions independent reactions (?H?j? in kJ mol?¹).
d) Extent of the independent reactions (?j in mol s?¹).
e) Total heat flow rate transferred from or to the reactor (MW). Prepare an inlet and outlet table for flow rates and enthalpies.

Table 1: Heat capacity data for Problem 1 (Reference DIPPR Project 801)

A [J mol?¹ K?¹] B [J mol?¹ K?¹] C [K] D [J mol?¹ K?¹] E [K]
CH4 33.30 79.93 2087 41.60 992.0
C2H6 40.33 134.22 1656 73.22 752.9
H2O (v) 33.36 26.79 2611 8.90 1169.0
CO 29.11 8.77 3085 8.46 1538.2
CO2 29.37 34.54 1428 26.40 588.0
H2 27.62 9.56 2466 3.76 567.6

Heat capacity correlation: cp = A + B [ (C/T) / sinh(C/T) ]² + D [ (E/T) / cosh(E/T) ]² [J mol?¹ K?¹]

Added by Marta B.

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