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.

🤓 Based on our data, we think this question is relevant for Professor Daly's class at UD.

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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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Rate of Change concept. If you need more Instantaneous Rate of Change practice, you can also practice Instantaneous Rate of Change practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Daly's class at UD.