A developer plans to build a completely self$-$contained city in remote Arizona for

$5000$ people. The homes in the city are to be heated with methane gas generated at a

landfill, via the landfill gas collection system. Through education, conservation, and recycling

programs, the MSW generation is anticipated to be $0\mathrm{.}45k\frac{g}{?}$ person$/$day$.$ It is anticipated that

gas can be produced at rate of $25L$ gas $\frac{?}{kg}$ MSW$.$ The gas will contain $58\%$ methane $($useable

heat content $=18,000k\frac{J}{m^3}),$ and the gas collection system will have a $50\%$ recovery. The

homes are estimated to use an average of $40{10}^{6}kJ$ of heat energy per year. Peak usage

during the $3-$month winter season is $1\mathrm{.}5$ times average usage. Is this proposal feasible from

a standpoint of generating sufficient heat for domestic use?