Question
Give examples of rate law with illustrations.

Answer

Consider following examples:
$\begin{aligned}
& \text {(i) } H _{2( g )}+ I _{2( g )} \rightarrow 2 HI _{( g )} \\
& R = k \left[ H _2\right]\left[ I _2\right]
\end{aligned}$

(ii) $2 H _2 O _{2( g )} \rightarrow 2 H _2 O _{( l )}+ O _{2( g )}$
Experimentally it is observed that the rate of the reaction is proportional to
the concentration of $H _2 O _2$
$\therefore R = k \left[ H _2 O _2\right]$

(iii) $NO _{2( g )}+ CO _{( g )} \rightarrow NO _{( g )}+ CO _{2( g )}$
Experimentally it is observed that rate of the reaction does not depend on
the concentration of CO but it is proportional to $\left[ NO _2\right]^2$.
$\therefore R = k \left[ NO _2\right]^2$

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