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:

Chart Of Accounts

A list of all the accounts used by a business, organized by their unique account numbers, used for organizing financial transactions and preparing financial statements.

Recording Transactions

The act of documenting financial activities in the accounting records of a company.

Financial Statement

A formal record of the financial activities and position of a business, individual, or other entity, typically including balance sheets, income statements, and statements of cash flows.

Accounting Year

A specific period of 12 months over which a company's financial and tax records are calculated, not necessarily aligning with the calendar year.