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AP Environmental Science/Unit 9: Global Change
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Ozone Depletion Exponential Decay Model
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A differential equation modeling ozone depletion is given by $$\frac{dO}{dt}=-k \cdot O(t) \cdot H$$, where $H$ is a constant halocarbon concentration. This equation yields a solution that shows an exponential decay in ozone concentration. Which of the following conclusions is best supported by this model?

A

The exponential solution of the differential equation indicates that reducing halocarbon emissions can have a long-term positive effect on preserving ozone levels by slowing down the rate of ozone depletion.

B

The evidence suggests that ozone depletion is entirely independent of halocarbon concentrations, implying that changes in H would have no effect on ozone levels.

C

The derived exponential decay indicates that halocarbons actually increase ozone concentrations, contradicting expected outcomes of ozone chemistry.

D

The model demonstrates that any reduction in ozone concentration is immediately reversed with even a small decrease in halocarbon levels, implying an instantaneous recovery.

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