The Following Table Shows the Concentration (In Mol/l) of a Certain

question 110

Essay

The following table shows the concentration (in mol/l) of a certain chemical in terms of reaction time (in hours) during a decomposition reaction. $$\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time (hours) } & 0 & 5 & 10 & 20 & 30 & 50 \\\hline \text { Concentration } ( \mathrm { mol } / \mathrm { L } ) & 2.32 & 1.86 & 1.49 & 0.98 & 0.62 & 0.25 \\\hline\end{array}$$
(a) Find the average rate of change of concentration with respect to time for the following time intervals:
(i) [0; 5] (ii) [10; 20] (iii) [30; 50]
(b) Plot the points from the table and fit an appropriate exponential model to the data.(c) From your model in part (b), determine the instantaneous rate of change of concentration with respect to time.(d) Is the rate of change of concentration increasing or decreasing with respect to time? Justify your answer.

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Definitions:

Mens Rea

A legal principle referring to the state of mind of a person who commits a crime, indicating intent or knowledge of wrongfulness.

Actus Reus

The physical act of committing a crime, as opposed to the mental intent (mens rea) to commit the act.

Mens Rea

A legal term referring to the intent or knowledge of wrongdoing that constitutes part of a crime.

Actus Reus

The physical act of committing a crime, as opposed to the mental intent to commit the crime.