Chemistry - Chemical Kinetics Question with Solution | TestHub

In general for a reaction, $$x_{1}A+x_{2}B\to y_{1}C+y_{2}D$$ The rate expression may be expressed as $$-\frac{1}{x_1}\frac{d[A]}{dt}=-\frac{1}{x_2}\frac{d[B]}{dt}=\frac{1}{y_1}\frac{d[C]}{dt}=\frac{1}{y_2}\frac{d[D]}{dt}\text{. }$$ For $2{\mathrm{N}}_2{\mathrm{O}}_5\to 4{\mathrm{NO}}_2+{\mathrm{O}}_2$ $$-\frac{1}{2}\frac{d\left[{\mathrm{N}}_2{\mathrm{O}}_5\right]}{dt}=\frac{1}{4}\frac{d\left[{\mathrm{NO}}_2\right]}{dt}=\frac{d\left[{\mathrm{O}}_2\right]}{dt}$$