$(20$ points$)$ Determine the amount of oxygen required to oxidize $1000$ lb of an organic solid waste aerobically. Assume that the initial composition of the organic material to be decomposed is given by $[$C$\_6$H$\_7$O$\_2($OH$)\_3]\_5,$ that the final composition of the residual organic matter is estimated to be $[$C$\_6$H$\_7$O$\_2($OH$)\_3]\_2,$ and that $400$ lb of material remains after the oxidation process.