The steam boiler is heated by fuel oil, which is assumed to contain only carbon and hydrogen. Air is supplied to the burner at $4C$ and $0,1$MPa. The average result of the analysis of the anhydrous fraction of the flue gas is $12,9\%C{O}_2$ by volume, $3,8\%O_2$ by volume and the rest $N_2.$ The flue gas temperature at the base of the stack is $293C$ and the pressure is also $0,1$MPa.

Calculate:

a$)$ Excess air.

b$)$ The mass percentage of carbon in the fuel oil.

c$)$ The supply air consumption in $m^3$ per $kg$ of fuel oil.

d$)$ Volume of flue gas at the base of the stack in $m^3$ per $1kg$ of fuel oil.

Results:

a$)$ Excess air is $20\mathrm{.}7\%.$

b$)$ The carbon content of the fuel oil is $87,7\%$ by weight.

c$)$ Air consumption is $13,8m^3$ per $1kg$ of fuel oil.

d$)$ The volume of flue gas is $29,5m^3$ per $1kg$ of fuel oil.