How to Figure out the Order of a Reaction in Regard to a Substrate from the Experimental Data – Part 1

Chemical kinetics aka reaction kinetics is concerned with understanding the rates of chemical reactions.


If one of the plots in the following table shows linearity (indicated by a constant slope), the order of the reaction w.r.t. the substrate (S) is the corresponding one.

Plot

Order

[S] (mol L─1) versus time (s)

Zero

ln [S] versus time (s)

First

1/[S] (L mol─1) versus time (s)

Second

Question:

The data from a study of the decomposition of NO₂(g) to form NO(g) & O₂(g) are given in the table below. What is the order of the reaction w.r.t. NO₂(g) that is consistent with the data?

Time (s)

[NO2] (mol L─1)

ln [NO2]

1/[NO2] (L mol─1)

0

0.500

─0.693

2.00

100

0.364

─1.01

2.75

200

0.286

─1.25

3.50

300

0.235

─1.45

4.25

Solution:



Click/tap to enlarge the image

Kung fu with kinetics❓ Let Chemaficionado know in the comments below or at mychemistryhomework@gmail.com❗

References:

(1)    Wikipedia Contributors. Chemical kinetics. Wikipedia. https://en.wikipedia.org/wiki/Chemical_kinetics.

‌(2)    Brown, C.; Ford, M. Higher Level Chemistry, 2nd ed.; Pearson Education: Harlow, Essex, 2014.

(3)    Ncert. Chemistry : Textbook for Class XII - Part.I; National Council Of Educational Research And Training: New Delhi.

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