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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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