(Solved): The data below is from an experiment for methanol steam reforming on Cu/ZnO catalyst (reactions bel ...

The data below is from an experiment for methanol steam reforming on $\mathrm{Cu}/\mathrm{ZnO}$ catalyst (reactions below). The table lists the peak areas obtained from gas chromatography analysis of the reactor products. a) Derive the expression relating methanol conversion to the peak areas from gas chromatography and calculate the conversions for the data provided. The relative response factors (RRF) for $\mathrm{CO},{\mathrm{CO}}_2$ and ${\mathrm{CH}}_3\mathrm{OH}$ are $1,1.14,1.39$, respectively, where (peak area/RRF) $?$ $\mathrm{mol}\%$. b) Derive an expression for the error in conversion as a function of the error in RRF for ${\mathrm{CH}}_3\mathrm{OH}$. c) If the RRF for ${\mathrm{CH}}_3\mathrm{OH}$ has an error of $10\%$, calculate the corresponding error in the conversion? d) What is the maximum error in the calculated conversion and at what conditions (i.e., conversion)? $\begin{array}{l}{\mathrm{CH}}_3\mathrm{OH}+{\mathrm{H}}_2\mathrm{O}?>{\mathrm{CO}}_2+3{\mathrm{H}}_2\\ {\mathrm{CH}}_3\mathrm{OH}??\mathrm{CO}+2{\mathrm{H}}_2\end{array}$