Textbook Problem

For the reaction

$2\text{NO}\left(g\right)+2{\text{H}}_2\left(g\right)\rightleftharpoons {\text{N}}_2\left(g\right)+2{\text{H}}_2\text{O}\left(g\right)$

it is determined that, at equilibrium at a particular temperature, the concentrations are as follows: [NO(g)] = 8.1 × 10⁻³ M, [H₂(g)] = 4.1 × 10⁻⁵ M, [N₂(g)] = 5.3 × 10⁻² M, and [H₂O(g)] = 2.9 × 10⁻³ M. Calculate the value of K for the reaction at this temperature.