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  4. In a one component second order reaction, if the concentration of the reactant is reduced to half, the rate

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Q. In a one component second order reaction, if the concentration of the reactant is reduced to half, the rate

KVPYKVPY 2009Chemical Kinetics

Solution:

For second order reaction,
$2A\rightarrow$ Product
Rate of reaction, $r=k\left[A\right]^{2}$.
If the concentration is reduced to half, $i.e.\frac{A}{2}$
$\therefore r'=k\left[\frac{A}{2}\right]^{2}$
$r' =\frac{1}{4}k\left[A\right]^{2}$
or $r' =\frac{1}{4}r$