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Q. The rate of formation of a dimer in a second order dimerisation reaction is $9.1 \times 10^{-6}\, mol\, L^{-1}s^{-1}$ at $0.01\, mol\, L^{-1}$ monomer concentration. What will be the rate constant for the reaction?

Chemical Kinetics

Solution:

$2A \rightarrow A_{2} $
Rate of formation of dimer $= k\left[A\right]^{2}$
$k=\frac{Rate \,of \,formation \,of\, dimer}{\left[A\right]^{2}}$
$k=\frac{9.1\times10^{-6} mol L^{-1}s^{-1}}{\left(0.01 mol L^{-1}\right)^{2}}$
$=9.1\times10^{-2} L\,mol^{-1}\, s^{-1}$