Producer gas has the following composition by volume: Carbon monoxide $=25\mathrm{.}0\%,$ carbon dioxide $=4\mathrm{.}0\%,$ oxygen $=3\mathrm{.}0\%,$ and nitrogen $=68\mathrm{.}0\%.$

a$.$ Determine the volume of the gas at $1$ bar and $290K$ per $kg$ carbon.

b$.100m^3$ of the gas at $1$ bar and $290K$ is to be burned with $20\%$ excess air. What volume of air is required at $1$ bar and $290K?$

c$.$ For the conditions in part $($b$),$ what would be the composition of the gas after complete combustion?