Calculate k, the degradation rate constant, responsible for drug degradation in this solution (in month-1).

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Calculate k, the degradation rate constant, responsible for drug degradation in this solution (in month-1).

The table presents data on the concentration of a substance (in micrograms per milliliter, mcg/mL) measured over several time intervals (in months). This data can be used to analyze the decay or reduction of the substance's concentration over time.

**Table: Concentration of Substance Over Time**

| Time (months) | Conc. (mcg/mL) |
|---------------|----------------|
| 0.5           | 15.74          |
| 1             | 14.46          |
| 3             | 10.3           |
| 7             | 5.2            |
| 12            | 2.22           |
| 16            | 1.12           |
| 18            | 0.8            |

**Explanation:**
- At 0.5 months, the concentration is at its highest, 15.74 mcg/mL.
- By 1 month, the concentration has decreased slightly to 14.46 mcg/mL.
- At 3 months, a more significant reduction is observed with a concentration of 10.3 mcg/mL.
- The concentration continues to decrease steadily at 7 months with 5.2 mcg/mL.
- At 12 months, the concentration drops further to 2.22 mcg/mL.
- By 16 months, the concentration is 1.12 mcg/mL.
- Finally, at 18 months, the concentration reaches its lowest value of 0.8 mcg/mL.

This tabulated data is critical for understanding the rate at which the concentration decreases over time, and it may be useful in scientific studies, pharmaceutical contexts, or any scenario where the degradation of a substance needs to be monitored.
Transcribed Image Text:The table presents data on the concentration of a substance (in micrograms per milliliter, mcg/mL) measured over several time intervals (in months). This data can be used to analyze the decay or reduction of the substance's concentration over time. **Table: Concentration of Substance Over Time** | Time (months) | Conc. (mcg/mL) | |---------------|----------------| | 0.5 | 15.74 | | 1 | 14.46 | | 3 | 10.3 | | 7 | 5.2 | | 12 | 2.22 | | 16 | 1.12 | | 18 | 0.8 | **Explanation:** - At 0.5 months, the concentration is at its highest, 15.74 mcg/mL. - By 1 month, the concentration has decreased slightly to 14.46 mcg/mL. - At 3 months, a more significant reduction is observed with a concentration of 10.3 mcg/mL. - The concentration continues to decrease steadily at 7 months with 5.2 mcg/mL. - At 12 months, the concentration drops further to 2.22 mcg/mL. - By 16 months, the concentration is 1.12 mcg/mL. - Finally, at 18 months, the concentration reaches its lowest value of 0.8 mcg/mL. This tabulated data is critical for understanding the rate at which the concentration decreases over time, and it may be useful in scientific studies, pharmaceutical contexts, or any scenario where the degradation of a substance needs to be monitored.
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