Kinetics question (Chemical engineering)

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SUMMARY

The discussion focuses on calculating the reaction rate constant for the reaction X(g) → 2Y(g) using absorbance data from a 0.030M solution of X measured with a spectrometer. Participants emphasize the importance of determining the reaction order by plotting concentration versus time, ln(concentration) versus time, and 1/(concentration) versus time. However, it is noted that after approximately 10 minutes, the concentrations approach equilibrium, making it difficult to gather valid data for kinetic analysis. The consensus suggests that using the concentration of X is more appropriate for accurate calculations.

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Beyar
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Hey!

I have a question regarding this question that I have to answer. It is about the kinetics of a substance X whose product is 2Y. It is in Swedish and here is the translation:

The absorbance of a 0,030M-solution of X was calculated with the help of a Spectrometer. The Spectrometer was calibrated to measure the absorbance of the product Y in the following reaction: X(g)-->2Y(g). The koncentration of Y was measured after a minute and every minute consequentially in 23 minutes. The graph shows these concentrations:The question is, calculate the reaction rate constant.

Now to do this, in my opinion and hunch, is we have to know the reaction order and to find it out I usually use a calculator to make a graph of the concentration vs. time, ln(concentration) vs. time and 1/(concentration) vs. time to see whether we deal with a 0, 1 or 2nd order reaction. But I can't seem to get equal amounts of points to make a graph, hence I am stuck :/.
Would anyone please kindly help me with this question?
Kinetic1.jpg
 
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@Beyar I do not think this is homework. Is that correct?
 
This is homework, indeed. I've been having issues with it for a while now and made several calculations and still get the wrong answer.
 
What do you mean by "can't get equal amount of points to make a graph"?

Beyar said:
make a graph of the concentration vs. time, ln(concentration) vs. time and 1/(concentration) vs. time to see whether we deal with a 0, 1 or 2nd order reaction
For what data are those relationships valid? Can you use them with your given [Y]-t data?
 
These functions of concentration of what against time? X or Y? For your points after about 10 minutes you are so close to equilibrium or to zero [X] , i.e. essentially no reaction happening, that you cannot use them in your kinetics graphs - you cannot do kinetics where nothing is changing!
 
Last edited:
epenguin said:
These functions of concentration of what against time? X or Y? For your points after about 10 minutes you are so close to equilibrium or to zero [X] , i.e. essentially no reaction happening, that you cannot use them in your kinetics graphs - you cannot do kinetics where nothing is changing!
Against the concentration of Y.
 
It makes more sense to use [X] though only for values that are significantly different from zero.
 
Last edited:
Assume that the reaction is 1st order, and that the original concentration of Y is zero. What are the concentrations of X at the various times?
 

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