12.3 Exercise 8

The rate constant for the radioactive decay of ¹⁴C is 1.21 $\times$ 10⁻⁴ year⁻¹. The products of the decay are nitrogen atoms and electrons (beta particles):
$_{6}^{14} \text{C} \rightarrow _{7}^{14} \text{N} + \text{e}^{-}$
$\text{rate} = k \left[_{6}^{14} \text{C}\right]$

What is the instantaneous rate of production of N atoms in a sample with a carbon-14 content of 6.5 $\times$ 10⁻⁹ M?