Problem $1$

Methane $(100(mol)s^{-1}),$ ethane $(20(mol)s^{-1}),$ and steam $(\{$:$200(mol)s^{-1})$ are fed into a reforming reactor

at $300C.$ At the outlet $(1100K)90\%$ methane and ethane conversions are achieved, in addition

you determine a steam flow rate of $44mol{s}^{-1}.$ 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 in $\{$:$kJmo{l}^{-1}).$

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 $801)$

Heat capacity correlation: $C_p=A+B[\frac{\frac{C}{T}}{sinh(\frac{C}{T})}{]}^2+D[\frac{\frac{E}{T}}{cosh(\frac{E}{T})}{]}^2[(J)mo{l}^{-1}{K}^{-1}]$