The analysis of a coal indicates $75-w1\%C,17-wt\%H,2-wt\%S,$ and the balance noncombustible ash. The coal is bumed at a rate of $5000k\frac{g}{h},$ and the feed rate of air to the furmace is $50$kmo$\frac{l}{m}in.$ All of the ash and $6\%$ of the carbon in the fuel leave the furnace as a molten slag; the remainder of the carbon leaves in the stack gas as $CO$ and $C{O}_2,$ the bydrogen in the coal is oxidized to $H_{2}O,$ and the sulphur emerges as $S{O}_2.$ Assume that air composition is $(21\%-O_2\mathrm{.}79\%-N_3).$

The selectivity of $C{O}_2$ to $CO$ production is $10=1,$

$1\mathrm{.}1$ Calculate the theoretical oxygen $($ kmo$\frac{l}{h})$ required for complete combustion inside the furmace.

$1\mathrm{.}2$ Calculate the actual amount of oxygen $($ kmo$\frac{l}{h}$ fed to the furnace.

$1\mathrm{.}3$ Calculate the percentage air fed to the furnace.

$1\mathrm{.}4$ Use atomic mass balance approach to calculate the total moles of the stack gas $($kmollh$),$

$1\mathrm{.}5$ Calculate the mole fractions of the gaseous pollutants $(-C{O}^{\text{a}\text{n}\text{d}S{O}_2-})$ in the stack gas.

$(4)$

$1\mathrm{.}6$ Emitted sulphur dioxide by itself is a healrh hazad, but it is a more serious theat to the enviroument as a precursor to acid rain. Under the catalytic action of sunlight, He sulpher dioxide is oxidized to sulphur trioxide, which in tum combines wilh water vapour to torm sulphuric acid, which eventually returns to earth as rainfall. Acid rain formed in this manner has caused extensive damage to forests, fields, and takes in many parts of the world For the fumace described above, calculate the rate of formation of sulphunc acid $(kgh$ if all the emitled $SO2$ is converted in the iadicated manner ctor acut