Write the general reaction,its differential rate equation,and the rate law.

(N/A) General Reaction: $aA + bB \rightarrow cC + dD$ $(i)$
Where $a, b, c,$ and $d$ are the stoichiometric coefficients of reactants and products.
$(b)$ Rate Law: Rate $\propto [A]^{x} [B]^{y}$ or Rate $= k[A]^{x}[B]^{y}$ $(ii)$
Where $k$ is the rate constant,and $x$ and $y$ are the orders of reaction with respect to reactants $A$ and $B$,which may or may not be equal to the stoichiometric coefficients $a$ and $b$.
$(c)$ Differential Rate Equation: The rate of reaction can be expressed in terms of the change in concentration of reactants over time as:
Rate $= -\frac{d[R]}{dt} = k[A]^{x}[B]^{y}$
Example: For the reaction $2NO_{(g)} + O_{2(g)} \rightarrow 2NO_{2(g)}$,the rate law is Rate $= k[NO]^{2}[O_{2}]^{1}$.