Integrated Rate Law for 2nd Order Reactions

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SUMMARY

The integrated rate law for second-order reactions is defined without including stoichiometric coefficients in the rate expression. The rate of reaction is universally defined as (1/a)*d[A]/dt, where 'a' represents the stoichiometric coefficient. This approach ensures consistency across different reactants, regardless of their coefficients in the balanced equation. For example, the rate expressions differ for reactions such as A → ½B and 4A → 2B, emphasizing the importance of specifying the reagent in question.

PREREQUISITES
  • Understanding of chemical kinetics
  • Familiarity with stoichiometric coefficients
  • Knowledge of reaction rate definitions
  • Basic principles of reaction mechanisms
NEXT STEPS
  • Study the derivation of integrated rate laws for second-order reactions
  • Learn about the impact of stoichiometry on reaction rates
  • Explore examples of second-order reactions in chemical kinetics
  • Investigate the application of rate laws in real-world chemical processes
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Chemistry students, educators in chemical kinetics, and professionals involved in reaction mechanism analysis will benefit from this discussion.

samy4408
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hello i have a question about kinetics : to have the integrated rate law for second order reaction the professor write the following
1652185701517.png


why we don't write the rate like this : rate = -1/2(d[1]/dt) ?
why we ignore the stoichiometric coefficient ?
 
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Rate is defined as a speed of change of the concentration, period.
 
"Rate of reaction" is often defined as (1/a)*d[A]/dt, where a is the stoichiometric coefficient of A (negative for reactants, positive for products). Then it's the same whichever reagent you look at, but it depends how you write the equation, e.g. it would be different for A → ½B or 4A → 2B. My preference is always to talk in terms of the rate of change of concentration of a specified reagent.
 

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