$($a$)$ A factory uses $200000$ litres of furnace oil $($Specific Gravity

$0\mathrm{.}97$ per month. If one million litres of oil used per year, the

particulate matter emitted is $3\mathrm{.}0$ tonnes per year, $S{O}_2$ emitted is

$59\mathrm{.}7$ tonnes per year, hydrocarbon emitted are $0\mathrm{.}37$ tonnes per

year, NOx emitted is $7\mathrm{.}5$ tonnes per year, a carbon monoxide is

emitted is $0\mathrm{.}52$ tonnes per year. Calculate the height of chimney

required to be provided for dispersion of the pollutants. $($Assume

$300$ working days in a year$)$