Determination of order of reaction from ln() graphs

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SUMMARY

The discussion focuses on determining the order of reaction using ln() graphs, specifically addressing the classification of reactants as first, second, or zeroth order. The participant describes a method involving the conversion of two data points to concentration and normal rate, bypassing the ln() function. Key insights include the significance of the slope in reaction rate plots and the visual representation of exponential functions versus their logarithmic counterparts. Understanding the relationship between time and concentration is crucial for accurately identifying reaction orders.

PREREQUISITES
  • Understanding of reaction kinetics and order of reactions
  • Familiarity with logarithmic functions and their properties
  • Knowledge of plotting data in scientific contexts
  • Basic concepts of concentration and reaction rates
NEXT STEPS
  • Study the graphical representation of first, second, and zeroth order reactions
  • Learn about the mathematical derivation of concentration over time for different reaction orders
  • Explore the significance of slope in reaction rate plots
  • Investigate the differences between exponential functions and their logarithmic transformations
USEFUL FOR

Chemistry students, researchers in reaction kinetics, and educators looking to deepen their understanding of reaction order determination through graphical analysis.

alingy1
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I have to say if each reactant is first, second or zeroth order.

Now, I know that usually, we have plots of ln([]) over time. But my teacher wants to trick me.

Here is how I do this:
Take two data points: convert them to [ ] and normal rate (remove the ln() function).
Compare the two data points to see influence of [].

Is there a faster way?
 

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alingy1 said:
Is there a faster way?

When you plot like that, what does the slope of these figures say about the reaction rate?
What does a figure of y=A^t look like, what does y=ln(A^t) look like?
 
oh yes, and note that there is a direct relationship between time and concentration, which is known from the exact solution over time for the concentration when the reaction order is 0,1, or 2.
 

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