Red oak has $42\%$ cellulose, $28\%$ hemicellulose $(22\%$ xylan and $6\%$ arabinan$),24\%$ lignin, $5\%$ extractives, and $1\%$ ash. In an acid hydrolysis example plant $($as shown in attached figure$),100$kg of red oak sawdust is hydrolyzed. The results show that the cellulose and hemicellulose are completely hydrolyzed to monomeric sugars. In addition, some of the hydrolyzed sugars $(30\%$ glucose, $30\%$ xylose, and $50\%$ arabinose$)$ are dehydrated to HMF and furfural. If there is no further decomposition or condensation of the furans generated, what is the quantity $($in kg$)$ of HMF produced in this process?

$($please give answer in two decimal places$)$Molecular weights of some important molecules

Table $6\mathrm{.}1($book$)$

Remember the same structural impirical formula for carbon

number $3$ or more: $(C{H}_{2}O)n$