A student mixes 3.00 mL of 2.27 × 10^(-5) M crystal violet solution with 3.00 mL 0.100 M sodium hydroxide, both at 24.5 °C, and collects the following data:
Time (Min) Absorbance
1.49 0.206
4.17 0.157
6.22 0.131
8.15 0.108
10.10 0.093
13.00 0.072
14.02 0.066
16.18 0.055
19.00 0.044
(a) Describe the graphical analysis steps the student should perform in order to determine the:
(i) Order of the reaction with respect to crystal violet
(ii) Value of the rate constant, k
(b) Use a graphing calculator or computer graphing software to determine the order of the reaction with respect to crystal violet. Justify your answer.
(c) Write the law expression for this reaction. Justify your answer.
(d) Determine the value of k, including its units. Justify your answer.
(e) Calculate the half-life of the reaction. Include units with your answer.
(f) Determine the absorbance of crystal violet at 3.00 minutes. Justify your answer.
(g) Determine the time at which the absorbance of crystal violet is equal to 0.060.