e Points) You are studying the decomposition of a trade secret druz\"A You have

Question

e Points) You are studying the decomposition of a trade secret druz"A You have measured the concentration versus time for A You requested that your lab assistant plotted the data three ways. The data points are represented by circles. The solid line is the the best fit line to the transformed data in each plot The equation for the best fit line also appears at the top of each graph. 0.6 0.2 00 Based on the data plots, answer the following questions a. What is the order of the reaction? b. What is the numerical value of the reaction rate constant with units? c. What is the halflife of the reaction? d. At what time will 90% of drug A be decomposed?

Explanation / Answer

To closest match between best fit line and experimental data points are observed in the second plot lnA vs T.

1. This is a 1st order reaction. because the lnA vs T plot gives a straight line.

2. slope of the graph represent the rate constant : k = 0.153

3.t1/2 = 0.693/k = 0.693/0.153 = 4.53 s

4. The rate law for 1st order reaction is :

ln (At/Ao) = -kt

or, ln (90/100) = -0.153 *t

or, t = 0.69 s

0.69 sec will be required to decompose 90% of the compound.

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