Chapter 12, Problem 19QAP

Given the following data at a certain temperature,

$\begin{array}{l}2{\text{N}}_{\text{2}}\left(g\right)+{\text{O}}_2\left(g\right)\rightleftharpoons 2{\text{N}}_2\text{O}\left(g\right)K=1.2\times {10}^{-35}\\ {\text{N}}_2{\text{O}}_4\left(g\right)\rightleftharpoons {\text{2NO}}_2\left(g\right)K=4.6\times {10}^{-3}\\ \frac{1}{2}{\text{N}}_2\left(g\right)+{\text{O}}_2\left(g\right)\rightleftharpoons {\text{NO}}_2\left(g\right)K=4.1\times {10}^{-9}\end{array}$

calculate K for the reaction between one mole of dinitrogen oxide gas and oxygen gas to give dinitrogen tetroxide gas.