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Photochemical Smog Ozone Model

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During photochemical smog formation, the ozone concentration is modeled by the function g(t)=20∗(1−e−0.3∗(t−9))g(t) = 20*(1-e^{-0.3*(t-9)}) for t≥9t \ge 9 (with time in hours, starting at 9 A.M.). All of the following statements are true except:

A

As time increases, g(t)g(t) asymptotically approaches 20 ppb.

B

The function represents exponential growth from an initial concentration of 0 ppb, leveling off toward an asymptote of 20 ppb.

C

At 12 P.M., the ozone concentration is given by 20∗(1−e−0.3∗3)20*(1-e^{-0.3*3}) ppb.

D

At 9 A.M., the ozone concentration is 20 ppb.

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