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Aspirin, C9H8O4, slowly decomposes at room temperature by reacting with water in

ID: 939665 • Letter: A

Question

Aspirin, C9H8O4, slowly decomposes at room temperature by reacting with water in the atmosphere too produce acetic acid, HC2H3O2, and 2-hydroxybenzoic acid, C7H6O3 (this is why old bottles of aspirin often smell like vinegar)

C9H8O4 + H2O = HC2H3O2 + C7H6O3 . Concentration and rate law are given.

[C9H8O4] (M)        [H2O] (M)           Rate (M/s)

0.0100                    0.0200               2.4 x 10-13

0.0100                     0.0800              9.6 x 10-13

0.0200                     0.0200              4.8 x 10-13

1) find the rate law for this reaction and 2) calculate k (give the correct units )

Explanation / Answer

from dat 1 , 3 :

order with respect ot C9H8O4 = 1

from dat 1 , 2 :

order with respect ot H2O = 1

1) rate law = k [C9H8O4]^1 [H2O]^ 1

order =1 + 1 = 2

2) from data 1

2.4 x 10-13 = k (0.0100) (0.0200)

k = 1.2 x 10^-9 M-1 s-1

  

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