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  4. A reaction A→ B follows a second order kinetic. Doubling the concentration of A will increase the rate of formation of B by a factor of:

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Q. A reaction $ A\to B $ follows a second order kinetic. Doubling the concentration of A will increase the rate of formation of B by a factor of:

Bihar CECEBihar CECE 2005Chemical Kinetics

Solution:

For second order reaction
$ r=k{{[A]}^{2}} $ ... (i)
When concentration of A (reactant) is doubled
$ r=k{{[2A]}^{2}} $
$ r=4k\,{{[A]}^{2}} $,,, (ii)
Comparing Eqs. (i) and (ii) $ r=4\,r $