Question

Examine the graph and linear regression shown below and choose the answer that is FALSE. 1.2 y = -0.0034x +0.9996 R2 = 1 0.8 0.6 0.4 0.2 0 50 200 250 100 150 time (s) The value of the rate constant for the reaction is 0.0034 The reaction has a half-life that does not depend on the initial concentration of the reactant The first half-life of the reaction is approximately 150 s The units of the rate constant are M/s The initial concentration of the reactant is 1 M

Answer 1

$\bf \text{ This graph represents }Zero\;order\text{ reaction.}\\$

$\bf \text{Integrated rate law}\\ {\;\;\;\;\;}[A]=-kt+[A]_0\\\\ {\;\;\;\;\;}t_{1/2}=\frac{[A]_0}{2k}\\\\ {\;\;\;\;\;}Unit\;of\;k:M/s$

$\bf \text{ From the given equation we have }\\\\ {\;\;\;\;\;\;}k=0.0034M/s\\\\ {\;\;\;\;\;\;}[A]_0=1M\\\\ {\;\;\;\;\;\;}t_{1/2}=\frac{1M}{2\times 0.0034M/s}\approx 150\;s$

$\therefore \textbf{ The FALSE statement is :}\\\\ \textbf{\;\;\;\;\;\;\;\;\;The reaction has a half-life that does not depend on the initial concentration}\\ \textbf{\;\;\;\;\;\;\;\; of the reactant. }$