Mass Balance Question:

A plant is to produce $100,000$ tonnes per annum of $98\%$ w$/$w H$2$SO$4.$ Elemental sulphur is burned to form SO$3,$ ensuring complete conversion by supplying $20\%$ more air than is required stoichiometrically. Enough water is then added to yield a final product in the form of $98\%$ w$/$w H$2$SO$4.$

Hence determine:

$1.$ the amount of sulphur to be burned per hour,

$2.$ the volume of air required per hour measured at $1\mathrm{.}0$ bar and $298$K$,$

$3.$ the weight of water input required per hour,

$4.$ the molar and volume composition of the exhaust gases $($volume composition expressed as $\%$v$/$v$).$

Assume a $24-$hour day and $300$ day working year. Air may be taken as $79\%$ N$2$ and $21\%$ O$2$ by volume.