The rate constant of the hydrolysis of ethyl acetate (conc = 0.08 M) by sodium hydroxide (conc = 0.08 M) was determined by monitoring the conductance of the solution over time. Determine the rate constant and briefly discuss how you were able to solve for it.
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- The degradation of the antibiotic clindamycin stored at 343 K in aqueous solution at pH 4 is found to be first order with a rate constant of 2.49 x 10−7 s −1. Over the temperature range 320 K to 360 K theactivation energy was found to be 123.3 kJ mol−1. (a) Calculate the rate constant at 325 K.(b) The threshold for product safety is 1% degradation. At 295 K the time taken for 1% of the antibiotic to degrade is found to be close to 0.01/ k. Comment on the shelf-life of the drug.Give clear handwritten answer- Derive an expression for the time dependence of the degree of polymerization (the average number of monomer residues per polymer molecule) for a condensation polymerization in which the reaction is known to have rate law d[M]/dt = -k[M] 3 , where [M] represents the concentration of the monomer!A typical diffusion constant for small molecules in aqueous solution at 25 °C is 6 × 10−9 m2 s−1. If the critical reaction distance is 0.5 nm, what value is expected for the second-order rate constant for a diffusion-controlled reaction?
- The composition of a liquid phase reaction 2A → B was monitored by aspectrophotometric method with the following results: t, s [B], mol/L 0 0 600 0.089 1200 0.153 1800 0.200 2400 0.230 ∞ 0.312 Identify the rate law, integrated rate law, and rate constant for thereaction based on the obtained data.Calculate the magnitude of the diffusion-controlled rate constant at 298 K for a species in (i) decylbenzene, (ii) concentrated sulfuric acid. The viscosities are 3.36 cP and 27 cP, respectively.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.
- The following results were found after completion of Part C in the Experimental procedure: 0.056 M I- and 0.048 M H2O2 were used Run Catalyst Calculated Rate of Reaction (M/s) 1 none 0.031 2 10.00mL of 0.35 M FeCl2 0.52 Assuming the Rate Law = k[I-][H2O2] 2 Calculate the value of k for run 2. Give your answer to the nearest whole number.For the rate law Rate = k[A]2.5[B]2, the partial order with respect to A is ________, the partial order with respect to B is ________, and the total order is ________.For the gaseous reaction A + B → P, the reactive cross-section obtained from the experimental value of the frequency factor is 8.7 x 10-22 m2. The collisional cross- sections of A and B estimated from the transport properties are 0.88 nm2 and 0.40 nm2, respectively. Calculate the steric factor, P, for the reaction.
- An enzyme kinetics experiment is carried out by adding 1.00mg of a 50.0kDa enzyme into a total volume of 50uL of buffer, and measuring the initial rates while adding increasing amounts of substrate (1 Da = 1 g/mol). The calculated Vmax from this series of experiments was 30.5mM/s. Calculate the turnover number for the enzyme.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.Part 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.