Decay Constant And Half Life Relationship
The removal of a pollutant from the atmosphere by precipitation is modeled by the exponential decay function . Four pollutants have decay constants ($k$) of 0.4, 0.3, 0.2, and 0.1 hr⁻¹. Which of the following lists the decay constants for these pollutants in order from shortest to longest half-life?
A
k = 0.1 hr⁻¹, k = 0.2 hr⁻¹, k = 0.3 hr⁻¹, k = 0.4 hr⁻¹
B
k = 0.4 hr⁻¹, k = 0.3 hr⁻¹, k = 0.2 hr⁻¹, k = 0.1 hr⁻¹
C
k = 0.4 hr⁻¹, k = 0.2 hr⁻¹, k = 0.3 hr⁻¹, k = 0.1 hr⁻¹
D
k = 0.3 hr⁻¹, k = 0.4 hr⁻¹, k = 0.2 hr⁻¹, k = 0.1 hr⁻¹
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