Chemical kinetics Lecture-15
Complex or composite reactions
Detection of reaction intermediates
Difficult to identify intermediates
Form of experimental rate equation
$ClO^-(aq)+I^-(aq) \rarr Cl^-(aq)+IO^-(aq)$
$r = k[ClO^-][I^-]$
$r = k\frac{[ClO^-][I^-]}{[OH^-]}$
Had the reaction been an elementary reaction
The reaction is a composite reaction
Termolecular reaction
$2Cu^{2+} + H_2$
$Cu^{2+} + Cu^{2+} + H_2$
Example
$2N_2O_5(g)\rarr 4NO_2(g)+O_2(g)$
$r=k[N_2O_5]$ $\rarr$ (experimental)
$r=k[N_2O_5]^2 \rarr$ if it had been elementary
Rate-limiting step
Rate determining step
Reaction Mechanism
$A \xrightarrow{k_1} X \hspace{4 mm} r_1=k_1[A]$
$X \xrightarrow{k_2} Y \hspace{4 mm} r_2=k_2[X]$
$Y \xrightarrow{k_3} P \hspace{4 mm} r_3=k_3[Y]$
$A \rarr P$
If you were trying to analyse the reaction by looking at the formation of P
Difficult and complex
P depends on Y
Y depends on X
X depends on A
Many rate expressions are quite simple
How do we decide on which step the final rate of reaction will depend upon ?
Rate Determining step
Rate Limiting step
$A\rarr P$
$r=k_1[A]$ because
$A \rarr X \rArr$ Slowest step rate determining step
It does not matter how fast the other steps are
If the first step is the rate determining step, then the rate of the overall reaction will only depend on the first step
$ClO^- +ClO^- \rarr ClO^-_2 + Cl^-$
$ClO^-_2 +ClO^- \rarr ClO^-_3 + Cl^-$
$r=k[ClO^-][ClO^-]$
$r=k[ClO^-]^2$
$r_{exp}=k[ClO^-]^2$
$2NO_2(g) +F_2(g) \rarr 2NO_2F(g)$
$r_{exp}=k[NO_2][F_2]$
Slow $NO_2 + F_2 \rarr NO_2F + F$
$NO_2 + F \rarr NO_2F$
$r=k[NO_2][F_2]$
Possible mechanism
$A+B\rarr P$
$A\xrightarrow{k_1} X$
$B+X\xrightarrow{k_2} P$ $\quad$ Slow
$r=k_2[B][X]$
Step-1
$A \leftrightarrows X$ fast pre-equilibrium step
Step-2
$B+X \xrightarrow{k_2} P$ $\quad$ Slow(r.d.s.)
$k_1[A]=k_{-1}[X]$
$[X]=\frac{k_1}{k_{-1}}[A]$
$k_{eq}=\frac{[X]}{[A]}=\frac{k_1}{k_{-1}}$
$r=k_2[B]\frac{k_1}{k_{-1}}[A]$
$r=k_2\frac{k_1}{k_{-1}}[B][A]$
$r=k_2k_{eg}[A][B]$
Thank you