Problem: Concentration of butyl chloride (C4H9Cl) as a function of time.In the figure on the left, order the following three rates from fastest to slowest: (i) The average rate of the reaction between 0 s and 600 s, (ii) the instantaneous rate at t = 0 s, and (iii) the instantaneous rate at t = 600 s. You should not have to do any calculations.

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We are asked to order three rates from fastest to slowest: 

(i) The average rate of the reaction between 0 s and 600 s, (ii) the instantaneous rate at t = 0 s, and (iii) the instantaneous rate at t = 600 s.


In the graph, it is shown that the concentration of C4H9Cl was measured at various times.

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Problem Details

A graph shows that the concentration of butyl chloride decreases over time. The overall reaction is C4H9Cl (aqueous) plus H2O (liquid) goes to C4H9OH (aqueous) + HCl (aqueous). The x-axis is time (seconds), ranging from 0 to 900 with intervals of 100. The y-axis is concentration of C4H9Cl (molar) ranging from 0 to 0.100 with intervals of 0.010. The instantaneous rate at time t equals the slope of tangent to the line at time t; where the slope is the hypotenuse of a triangle touching the line with a height equal to the change in concentration of CH4H9Cl and length equal to change in time. For example, the instantaneous rate at time equals 0 seconds (initial rate) is 0.100 molar, and the instantaneous rate at time 600 seconds equals 0.030 molar.


Concentration of butyl chloride (C4H9Cl) as a function of time.

In the figure on the left, order the following three rates from fastest to slowest: 

(i) The average rate of the reaction between 0 s and 600 s

(ii) the instantaneous rate at t = 0 s, and 

(iii) the instantaneous rate at t = 600 s

You should not have to do any calculations.