± Average and Instantaneous Reaction Rates An average reaction rate is calculate

Question

± Average and Instantaneous Reaction Rates

An average reaction rate is calculated as the change in the concentration of reactants or products over a period of time in the course of the reaction. An instantaneous reaction rate is the rate at a particular moment in the reaction and is usually determined graphically.

The reaction of compound A forming compound Bwas studied and the following data were collected:

0.016

Part A

What is the average reaction rate between 0. and 1500. s?

Express your answer to three significant figures and include the appropriate units.

Part B

What is the average reaction rate between 200. and 1500. s ?

Express your answer to three significant figures and include the appropriate units.

Part C

What is the instantaneous rate of the reaction at t=800. s?

Express your answer to two significant figures and include the appropriate units.

Time (s) [A] (M) 0. 0.184 200. 0.129 500. 0.069 800. 0.031 1200. 0.019 1500.

0.016

Explanation / Answer

(a). The average reaction rate between 0. and 1500. s:

Rate = (0.184 - 0.016) / (1500 - 0)

= 0.168 / 1500

= 0.000112 M/s

(b). The average reaction rate between 200. and 1500. s:

Rate = (0.129 - 0.016) / (1500 - 200)

= 0.113 / 1300

= 0.0000869 M/s

(c). Plotting the graph of the data we get:

At T = 950 s, [A] = 0.02 M

At T = 500 s, [A] = 0.05 M

Instantaneous rate = (0.05 - 0.02) / (950 - 500)

= 0.03 / 450

= 0.0000667 M/s

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