Carbon-14 (C-14) with a half-life of 5730 years decays to nitrogen-14 (N-14). A sample o...

Carbon-14 (C-14) with a half-life of 5730 years decays to nitrogen-14 (N-14). A sample of carbon dioxide containing carbon in the form of C-14 only is sealed in a vessel at 1.00-atmosphere pressure. Over time, the CO₂ becomes NO₂ through the radioactive decay process. The following equilibrium is established:

If the equilibrium constant for the equation as written is 1 × 10^-5, what is the pressure of N₂O₄ after 20,000 years? Assume that the CO₂ does not participate in any chemical reactions.