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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?Consider the table of data collected for the reaction A → Products. Determine the magnitude (value) of the reaction rate constant by graphing the data appropriately. Time (s) [A](M) 0 0.5 1.5 0.42 3 0.335 4.5 0.25 6 0.17 7.5 0.085 9 0.003Consider 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?
- Consider the table of data collected for the reaction A → Products. Determine the magnitude (value) of the reaction rate constant by graphing the data appropriately.Consider the table of data collected for the reaction A~ Products. Determine the magnitude (value) of the reaction rate constant by graphing the data appropriately.Consider the table of data collected for the reaction A → Products. Determine the magnitude (value) of the reaction rate constant by graphing the data appropriately. The table: Time (s) [A] (M) 0.00 0.600 1.50 0.325 3.00 0.178 4.50 0.095 6.00 0.050 7.50 0.028 9.00 0.015
- The reaction rate for the decomposition of N2O5 to form NO2 and O2 was studied as a function of temperature. The first order reaction rate constants were found to be: What is the Ea for this reaction in kJ/mol? Use Excel to plot the pertinent data and use linear regression to calculate the slope of the line connecting your data.Pharmaceuticals and personal care products (PPCPs) are commonly detected in treated wastewater effluent all over the world. There is concern that they may act as endocrine disruptors. The half-life of medication carbamazepine is 260 days in a lagoon, the lagoon can be considered as batch reactor, according to second-order kinetics, the initial concentration of carbamazepine is 1 mg/L. What is the rate constant k, and the unit of k?The reaction rate for the decomposition of N2O5 to form NO2 and O2 was studied as a function of temperature. The first order reaction rate constants were found to be: What is the Ea for this reaction in kJ/mol? Use Excel to plot the pertinent data and use linear regression to calculate the slope of the line connecting your data. Round your answer to 2 decimal places
- An ocean outfall diffuser that discharges treated wastewater into the Pacific ocean is 5,000 m from a public beach. The wastewater contains 105 coliform bacteria per milliliter (coliform /mL). The wastewater discharge flow rate is 0.3 m3/s. The coliform first-order death rate in seawater is approximately 0.3 h-1. The current carries the wastewater plume toward the beach at a rate of 0.5 m/s. The ocean current may be approximated as a pipe carrying 600 m3/s of seawater. Determine the coliform concentration at the beach. Assume that the current behaves as a plug-flow reactor and that the wastewater is completely mixed in the current at the discharge point.of the units below which are appropriate for a second order reaction rate constantPart B: Integrated rate law expressions for zero- and half-order reactionsDerive integrated rate law expressions for half-, one and a half-, and third-order reactions of the form A products where k is the rate constant. Also, deduce the graphical linear relations, units of rate constant k, and expression for half-life, t1/2 , for all cases. Assume that at t = 0 only A is present with an initial concentration of [A]0. Fill in the table below by following the example given for first-order reaction1.
