Question

Graph the following data to determine whether the reaction A⟶B + C is first order.

Trial	Time(s)	(A)
1	4.0	0.220
2	8.0	0.144
3	12.0	0.110
4	16.0	0.088
5	20.0	0.074

Short answer

The graph plot of ln(A) vs. t is not a straight line.

Step-by-step solution

Rate of a Reaction

The rate of reaction may be defined as the speed of the reactant reacting to give obtain in a particular reaction at a particular time. The concentration of the reactant and product are represented into mole/L.

Rate\({\bf{ = }}\,{\bf{ k}}{\left( {\bf{A}} \right)^{\bf{m}}}{\left( {\bf{B}} \right)^{\bf{n}}}^{}\)

First Order Reaction

The rate equation consists of initial concentration \({\left( {\bf{A}} \right)_{\bf{0}}}\)and the concentration \({\left( {\bf{A}} \right)_{\bf{t}}}\)present after any given time t can be derived for a first-order reaction. Rearrange the integrated standard linear equation format:

\({\bf{ln}}\left( {\bf{A}} \right){\bf{ = }}\left( {{\bf{ - k}}} \right)\left( {\bf{t}} \right){\bf{ + ln}}{\left( {\bf{A}} \right)_{\bf{t}}}\)

y = mx + b

Graph