The in$-$class lecture suggested that the temperature of $S{O}_2$ emissions from a coal$-$fired power

plant was $315C.$ However, this is actually the typical temperature of the gas entering the

stack, which for brick and lined stacks would cool along the height of the stack at a rate of

about $0\mathrm{.}9C.$

What is the difference in effective stack height with this revised temperature?

Stack parameters:

Height $=120\mathrm{.}0m$

Diameter $=1\mathrm{.}2m$

Exit velocity $=10\mathrm{.}0\frac{m}{s}$

Temperature $=210C$

Atmospheric conditions

Pressure $=95$kPa

Temperature $=25C$

$0\mathrm{.}09m$

$9m$

$0\mathrm{.}9m$

$90m$