The process of burning sulfur, which is a process used in the petrochemical industry, will be diagrammed. In the petrochemical industry, sulfur is used in various components and can often be burned to produce energy or act as a reactant.

One hundred kilograms per hour of sulphur of $95\%$ purity is burned in dry air. The gas leaving the burner containing $15\%SO2,5\%02$ and $80\%N2$ enters a converter after mixing with secondary air. The gas leaving the converter has the following analysis: $SO2,4\mathrm{.}5\%$;$02,7\mathrm{.}5\%$ and $N2,88\mathrm{.}0\%.$ The converter gas is passed through an absorber so that $95\%$ of the S$03$ in the gas is absorbed in $98\%H2S04$ to produce $100\%$ sulphuric acid. Determine the following:

$($a$)$ The volume of secondary air $($in m$3)$ supplied per hour at $100$kPa and $300K$

$($b$)$ The mass of $98\%H2SO4($in kilograms$)$ supplied per hour

$($c$)$ The mass of $100\%$ acid $($in kilograms$)$ produced per hour