Q7. The data below is provided for the following reaction
\( \mathrm{A} \rightarrow \mathrm{P} \)
\begin{tabular}{|c|c|}
\hline Time (s) & [A] \( \mathbf{m o l} / \mathbf{d m}^{\mathbf{3}} \) \\
\hline 0 & \( 1.00 \) \\
\hline 15 & \( 0.92 \) \\
\hline 20 & \( 0.90 \) \\
\hline 50 & \( 0.78 \) \\
\hline 75 & \( 0.71 \) \\
\hline 105 & \( 0.63 \) \\
\hline 130 & \( 0.58 \) \\
\hline 150 & \( 0.55 \) \\
\hline
\end{tabular}
1. Find out whether the reaction is \( 0^{\text {th }}, 1^{\text {st }} \), or \( 2^{\text {nd }} \) order. Show your calculations and plots for each case.
2. What is the order of the reaction?
3. What is the value of rate constant \( (\mathrm{k}) \) ?
4. Write down the rate equation.
5. Determine \( [\mathrm{A}] \) at \( 90 \mathrm{~s} \).