Question

Exponetial Decay is killing me plz help

A 33 gram sample of a substance that's used for drug research has a k-value of 0.1081.

N = N0e -kt

N0 = initial mass (at time t = 0)

N = mass at time t

k = a positive constant that depends on the substance itself and on the units used to measure time

t = time, in days


Find the substance's half-life, in days.

Round your answer to the nearest tenth.

Answer 1

The half life is when:
\(N_0 /2 = N_0 e^{-kt}\)
\(e^{-kt} = 1/2\)
\(-kt = ln(1/2) = -ln(2)\)
\(t = \frac{ln(2)}{k}\)

Answer 2

\(ln(2) \approx 0.693\)