For the reaction, ${{\rm{N}}_2}{{\rm{O}}_5} \to 2{\rm{N}}{{\rm{O}}_2} + \frac{1}{2}{{\rm{O}}_2}$<br> Given, $ - \frac{{d\left[ {{{\rm{N}}_2}{{\rm{O}}_5}} \right]}}{{dt}} = {K_1}\left[ {{{\rm{N}}_2}{{\rm{O}}_5}} \right]$<br> $\frac{{d\left[ {{\rm{N}}{{\rm{O}}_2}} \right]}}{{dt}} = {K_2}\left[ {{{\rm{N}}_2}{{\rm{O}}_5}} \right]$<br> ${\rm{and}}\;\;\frac{{d\left[ {{{\rm{O}}_2}} \right]}}{{dt}} = {K_3}\left[ {{{\rm{N}}_2}{{\rm{O}}_5}} \right]$<br> The relation in between ${K_1},{K_2}\;and\;{K