$1)$ A thermal plant in Australia utilizes locally sourced coal for power generatioThis particular coal is found to contain ash $9\mathrm{.}4\%,$ hydrogen $6\%,$ nitrogen $1\mathrm{.}4\%,$ sulfur $2\%,$ carbon $74\mathrm{.}8\%,$ oxygen $6\mathrm{.}4\%.$ For burning, they use $23\%$ excess air $($dehumidified$)$ and the combustion is assumed to be complete. Assume that the nitrogen in the coal converts to NO$2$ while N$2$ in air is inert.

a$.$ What is the total amount of gas produced in moles$/100$g dry coal.

b$.$ What is the concentration of SO$2$ produced?

c$.$ Because of an issue in the air dehumidifier, the air for combustion has a humidity of $0\mathrm{.}0116$ mol$/$mol dry air now. What is the percent change in H$2$O released compared to the previous case?