List of top Chemistry Questions on Stoichiometry and Stoichiometric Calculations asked in UP Board XII

For the reaction $N_2O_5 \longrightarrow 2NO_2 + \tfrac{1{2}O_2$, if} \[ -\frac{d[N_2O_5]}{dt} = K'[N_2O_5], \quad \frac{d[NO_2]}{dt} = K''[N_2O_5], \quad \frac{d[O_2]}{dt} = K'''[N_2O_5] \] then establish the relation between $K'$, $K''$, and $K'''$.