Discussion
Maximum ground level concentration varies roughly as the inverse square of effective stack height. Raising it from \( 60 \) to \( 105 \) m reduces the maximum by a factor of about
Answer: A
Correct answer: 3.06
With the maximum ground level concentration varying as \( 1/H^2 \), the ratio of the two maxima is the square of the ratio of the heights:
\[ \frac{C_{60}}{C_{105}} = \left(\frac{105}{60}\right)^2 = 1.75^2 = 3.06 \]
So raising the effective height from \( 60 \) to \( 105 \) m cuts the peak concentration to about a third. The value \( 1.75 \) is the height ratio itself, before squaring - the usual mistake. This inverse-square dependence is why plume rise, and hence gas exit temperature and velocity, is worth as much attention as the physical stack.
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