Discussion
A source emits \( 80 \) g/s into a wind of \( 4 \) m/s. Doubling the wind speed to \( 8 \) m/s changes the ground level concentration by a factor of
Answer: B
Correct answer: 0.5
Ground level concentration is inversely proportional to wind speed, since \( u \) appears once in the denominator of the Gaussian plume equation. Doubling the wind speed therefore halves the concentration:
\[ \frac{C_8}{C_4} = \frac{u_4}{u_8} = \frac{4}{8} = 0.5 \]
The emission rate of \( 80 \) g/s is unchanged and does not enter the ratio. A factor of \( 0.25 \) would follow from an inverse-square dependence, which is not the case here; the wind dilutes in direct proportion to how fast it carries the plume away.
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