A furnace is fired with fuel oil with a partial analysis of $7\mathrm{.}6\%S$ and $2\mathrm{.}8\%N.$ Orsat analysis of the stack

gas shows $9\mathrm{.}44\%C{O}_2,1\mathrm{.}19\%CO,0\mathrm{.}4\%S{O}_2,0\mathrm{.}47\%H_2,6\mathrm{.}8\%O_2,$ and $81\mathrm{.}7\%N_2.$ Air supplied is at $23C,$

$755mmHg,$ and $85\%$ RH$.$ Calculate:

a$)\%$ excess air

$(38\mathrm{.}03\%)$

b$)$ analysis of the fuel oil

$(75\mathrm{.}74\%$ C$,11\mathrm{.}4\%H,2\mathrm{.}46\%O,2\mathrm{.}8\%N,7\mathrm{.}6\%S$

c$)m^3$ air $\frac{?}{kg}$ fuel oil

$(15\mathrm{.}34\%)$