# What is an example first order half life problem?

What is an example first order half life problem?
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Consider the first-order half-life decay of ${}_{6}^{14}C$. Given that the half-life is 5730 yrs,
calculate the rate constant for this process in ${s}^{-1}$ (use the conversion 365.24 days = 1 yr).
Given an initial concentration of 0.50M, calculate the initial rate of this process in M/s.
Equations you will need:
${t}_{1/2}=\frac{\mathrm{ln}2}{k}$
(first-order half-life)
$r\left(t\right)=k{\left[}_{6}^{14}C\right]$
(first-order rate law)
$k=3.83×{10}^{-12}{s}^{-1}$
$r\left(t\right)=1.92×{10}^{-12}M/s$