Does the Data Support the Proposed Reaction Mechanism?

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SUMMARY

The discussion focuses on analyzing the reaction mechanism A-->B using the equation ln(Ca-Cae)/(Ca0-Cae)=-kt, where k is the reaction rate constant. Participants emphasize the importance of utilizing a semilog plot to visualize the relationship between concentration (Ca) and time (t). To solve the problem, it is essential to exponentiate the equation to eliminate the logarithm, rearranging it to express Ca, and confirming the initial and limiting values of the function. The behavior of the function f(t) = Ce^{-kt} + D is crucial for understanding the reaction dynamics.

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kari82
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A chemical Reaction A-->B is carried out in a closed vessel. The following data are taken for the concentration of A, Ca (g/L), as a function of time, t(min), from the start of the reaction. A proposed reaction mechanism predicts that Ca and t should be related by the expression

ln (Ca-Cae)/(Ca0-Cae)=-kt

where k is the reaction rate constant

Do the data (see attached file) supports this prediction? If so, determine the value of k. (Use a semilog plot in your solution for this problem)



Can someone explain to me what using a semilog plot means? And, maybe give me a hint on how to start this problem please... Thank you!
 

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A [2-D] semilog plot has a logarithmic scale for only one axis.


To start the problem, I would exponentiate to get rid of the logarithm. Re-arange to solve for CA, and determine if the function's initial value and the value it approaches agree with the plot.

You should know what the plot of [itex]f(t) = Ce^{-kt} + D[/itex] would look like.

Know that if k is positive, the term [itex]Ce^{-kt}[/itex] will approach zero as t becomes larger.

You should be able to indentify (in terms of C and D):

  • the value of this function when t = 0
  • the value it approaches as t becomes larger
 
Thank you so much for your help!
 

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