(Solved): 1. Consider the two primary SMR reactions: R1 Methane reforming: R2 Water gas shift: CH4+H2O ...

1. Consider the two primary SMR reactions: R1 Methane reforming: R2 Water gas shift: $\begin{array}{l}{\mathrm{CH}}_4+{\mathrm{H}}_2\mathrm{O}?\mathrm{CO}+3{\mathrm{H}}_2\\ \mathrm{CO}+{\mathrm{H}}_2\mathrm{O}?{\mathrm{CO}}_2+{\mathrm{H}}_2\end{array}$ $?{\mathrm{H}}^{?}=206.0\mathrm{kJ}/\mathrm{mol}$ $?{\mathrm{H}}^{?}=?41.1\mathrm{kJ}/\mathrm{mol}$ Do the following: a. Conduct an equilibrium analysis for an equimolar feed mixture of ${\mathrm{CH}}_4$ and ${\mathrm{H}}_2\mathrm{O}({\mathrm{y}}_{\mathrm{M},\mathrm{f}}=$ ${\mathrm{y}}_{\mathrm{w},\mathrm{f}}=0.5)$ at atmospheric pressure. Assume that only R1 occurs. Your analysis should be captured in a plot of $y_i(I=1,4)$ vs. $T\left({}^{?}\mathrm{C}\right)$ between 200 and $1000^{?}\mathrm{C}$. b. Now do similar analysis for the overall reaction $\mathrm{R}1+\mathrm{R}2$ : $\mathrm{R}1+\mathrm{R}2{\mathrm{CH}}_4+2{\mathrm{H}}_2\mathrm{O}?{\mathrm{CO}}_2+4{\mathrm{H}}_2?{\mathrm{H}}^{?}=164.9\mathrm{kJ}/\mathrm{mol}$ Again, your analysis should be captured in a plot of $y_i$ vs. $T\left({}^{?}\mathrm{C}\right)$ between 200 and $1000^{?}\mathrm{C}$. c. Now prepare a plot that shows the fractional conversion of methane $(X_M=1?$ ${\mathrm{y}}_M/{\mathrm{y}}_{M,f})$ versus $T$ for case (a) and case (b). Explain your findings.