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- The color change accompanying the reaction of phenolphthalein with strong base is illustrated below. The change in concentration of the dye can be followed by spectrophotometry (Section 4.9), and some data collected by that approach are given below. The initial concentrations were [phenolphthalein] = 0.0050 mol/L and [OH] = 0.61 mol/L. (Data are taken from review materials for kinetics at chemed.chem.purdue.edu.) (For more details on this reaction see L Nicholson, Journal of Chemical Education, Vol. 66, p. 725, 1989.) (a) Plot the data above as [phenolphthalein] versus time, and determine the average rate from t = 0 to t = 15 seconds and from t = 100 seconds to t = 125 seconds. Does the rate change? If so, why? (b) Use a graphical method to determine the order of the reaction with respect to phenolphthalein. Write the rate law, and determine the rate constant. (c) What is the half-life for the reaction?Determine the average rate of change of BB from ?=0 st=0 s to ?=272 s.t=272 s. A⟶2BA⟶2B Time (s) Concentration of A (M) 0 0.7300.730 136136 0.4450.445 272272 0.1600.160 rateB= __________M/sUse the data in Figure 14.2 to calculate the average rate ofappearance of B over the time interval from 0 s to 40 s.
- Determine the missing initial rate: 2N2O5 → 4NO2 + O2 [N2O5] Initial rate (Ms-1) 0.093 4.84x10-4 0.084 4.37x10-4 0.224 ??From the equation of the line of best fit for the temperature-rate constant data in Part C, y= -22314x + 25.181 determine the value of Ea in kJ/mol. Include a unit analysis. R is a constant equal to 8.314 J/molK. When you take the natural log of a number, the units disappear.Consider a pseudo-first order rate constant for the degradation of MTBE in a fully mixed batch reactor that is equal of k' = 0.054min - 1 What will be the half life of MTBE in the reactor in units of minutes (min)?- will a reaction time of 1 minute be sufficient to get 50% removal of the MTBE?
- Using the data in the table, determine the rate constant of the reaction and select the appropriate units. A+2B⟶C+D Trial [?] (?)[A] (M) [?] (?)[B] (M) Rate (M/s) 1 0.360 0.330 0.0164 2 0.360 0.660 0.0164 3 0.720 0.330 0.0656 ?=? Units =?Using the data in the table, determine the rate constant of the reaction and select the appropriate units. A+2B⟶C+D Trial [?] (?) [?] (?) Rate (M/s) 1 0.360 0.290 0.0144 2 0.360 0.580 0.0144 3 0.720 0.290 0.0576 k=The first-order degradation rate constant k was determined to be 0.0125/day for contaminant A and 0.0030/day for contaminant B in a soil. Calculate the half-life T1/2 and the 95% dissipation time for these contaminants in the soil. Compare the persistence between the two contaminants.
- The first-order decomposition of a colored chemical species, X, into colorless products is monitored with a spectrophotometer by measuring changes in absorbance over time. Species X has a molar absorptivity constant of 5.00 × 10–3 cm–1 M–1 and the path length of the cuvette containing the reaction mixture is 1.00 cm. The data from the experiment are given in the table below. [X] (M) Absorbance (A) Time (min) ? 0.600 0.0 4.00x10–5 0.200 35.0 3.00x10–5 0.150 44.2 1.50x10–5 0.075 ? 1. Calculate the initial concentration of the unknown species. A = abc 2. Calculate the rate constant for the first order reaction using the values given for concentration and time. Include units with your answers. 3. Calculate the minutes it takes for the absorbance to drop from 0.600 to 0.075. 4. Calculate the half-life of the reaction. Include units with your answer. 5. Experiments were performed to determine the value of the rate constant for…From the equation of the line of best fit for the temperature-rate constant data in Part C, determine the value of A. R is a constant equal to 8.314 J/molKUsing the data in the table, determine the rate constant of the reaction and select the appropriate units. A+2B⟶C+D Trial [?] (?) [?] (?) Rate (M/s) 1 0.340 0.210 0.0204 2 0.340 0.420 0.0204 3 0.680 0.210 0.0816 ?=