Chapter 12, Problem 19E

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):

$\text{C}\to \text{N}+\text{e}-$ rate $=k\left[\text{C}\right]$

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?