Question

a 50 gram sample of a substance that's used to treat thyroid disorders has a ka-value of 0.1133.

Find the substances half-life, in days. Round your answer to the nearest tenth.

Answer 1

\(\large N(t) = N_o \ e^{-k \ t}\)

\(\large N(t_{half}) = \frac{1}{2}N_o = N_o \ e^{-k \ t _{half}}\)

\(\large ln(\frac{1}{2}) = - k \ \ t _{half} \)

\(\large t_{half} = \frac{ln(\frac{1}{2})}{-k} = \frac{ln(2)}{k}\)