Given that mass loss is expressed as a negative exponential function (original mass remaining = e-kt),how much mass would be left after 20 weeks given a decomposition coefficient k = 0.0167 in units of proportion mass loss per week?

Question

Quizplus · Accepted Answer

Using the formula for mass remaining as a function of time, $m = e^{-kt}$, where $m$ is the mass remaining, $k$ is the decomposition coefficient, and $t$ is the time in weeks, we substitute $k = 0.0167$ and $t = 20$ to find the mass remaining. The calculation is $e^{-0.0167 \times 20}$, which equals approximately 0.716.

Given That Mass Loss Is Expressed as a Negative Exponential