Question
Asked Feb 16, 2020
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For the hypothetical reaction A → products, the concentration of A was monitored over time. From the following graph, what is the rate constant for the decomposition of A?

 

y = -0.02735x-2.3026
-2.4
-2.6
-2.8
-3.0
10
15
20
25
30
Time (s)
In((A])
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y = -0.02735x-2.3026 -2.4 -2.6 -2.8 -3.0 10 15 20 25 30 Time (s) In((A])

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Expert Answer

Step 1

From the given data,

The graph between ln [A]  vs  time is a straight line.

This indicates that the given hypothetical reaction is of first order.

Rate of reaction :  Chemistry homework question answer, step 1, image 1

The rate equation obtained from the above rate law is:

Chemistry homework question answer, step 1, image 2

Which is in the form of 

 Chemistry homework question answer, step 1, image 3

By comparing:

Chemistry homework question answer, step 1, image 4

 

 

 

 

Step 2

The given equation is:

y = - 0.02735 x - 2.3026

which is in the form of y =mx +c 

The slope of the line m = -0.02735 

We know that : m=-k

so,

Chemistry homework question answer, step 2, image 1

 

 

...

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