APFIVE Decay Constant And Half Life Relationship
Pollutant removal by precipitation is often modeled by an exponential decay function: $$C(t)=C_0*e^{-k*t}$$. For four pollutants with decay constants of 0.4, 0.3, 0.2, and 0.1 hr⁻¹, rank them from shortest to longest half-life (i.e., from fastest decay to slowest decay).
A
k = 0.4 hr⁻¹, k = 0.3 hr⁻¹, k = 0.2 hr⁻¹, k = 0.1 hr⁻¹
B
k = 0.4 hr⁻¹, k = 0.2 hr⁻¹, k = 0.3 hr⁻¹, k = 0.1 hr⁻¹
C
k = 0.1 hr⁻¹, k = 0.2 hr⁻¹, k = 0.3 hr⁻¹, k = 0.4 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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