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Q. For the reaction, $Cl_2 + 2I^- \longrightarrow \, I_2 + 2Cl^- ,$ the initial concentration of $I^-$ was 0.20 mol $L^{-1}$ and the concentration after 20 min was 0.18 mol $L^{-1}$. Then the rate of formation of $I_2$ in mol $L^{-1} \, min^{-1}$ would be

KEAMKEAM 2007Chemical Kinetics

Solution:

Rate of formation of $I_2 = \frac{dI_2}{dt} = -\frac{1}{2} \frac{d [I^-]}{dt}$
$ = \frac{1}{2} \times \frac{0.20 - 0.18}{20} = \frac{1}{2} \times \frac{0.02}{20}$
$ = 5 \times 10^{-4} \, mol \, L^{-1} \, min^{-1}$