Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 20, Problem 20.82E
Show that another form of the Michaelis-Menten equation is
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Physical Chemistry
Ch. 20 - Prob. 20.1ECh. 20 - The oxidation-reduction reaction between iron...Ch. 20 - The oxidation-reduction reaction between iron...Ch. 20 - The rate of the reaction...Ch. 20 - For a certain reaction between NO and O2, the rate...Ch. 20 - For a reaction between SO2 and Cl2, the rate law...Ch. 20 - Consider the chemical reaction A+B+Cproducts...Ch. 20 - For the chemical reaction...Ch. 20 - Explain how a species might be part of a rate law...Ch. 20 - Refer to Example 20.2 and explain whether any...
Ch. 20 - Rate law experiments dont always give data in the...Ch. 20 - Prob. 20.12ECh. 20 - What must the units on k be for the following rate...Ch. 20 - What must the units on k be for the following rate...Ch. 20 - The reaction 2O33O2 has first-order kinetics and a...Ch. 20 - Digestive processes are first-order processes. The...Ch. 20 - Prob. 20.18ECh. 20 - Derive equation 20.15.Ch. 20 - Prob. 20.20ECh. 20 - To a very good approximation, the cooling of a hot...Ch. 20 - Assume that thermal decomposition of mercuric...Ch. 20 - Prob. 20.23ECh. 20 - Prob. 20.24ECh. 20 - Derive equation 20.22.Ch. 20 - a Write a rate law and an integrated rate law for...Ch. 20 - Derive an expression for the half-life of a a...Ch. 20 - Prob. 20.28ECh. 20 - Rewrite equation 20.27 so that it has the form of...Ch. 20 - One can also define a third-life, t1/3, which is...Ch. 20 - The decomposition of NH3: 2NH3N2+3H2 is a...Ch. 20 - Prob. 20.32ECh. 20 - Prob. 20.33ECh. 20 - When ionic compounds crystallize from a...Ch. 20 - An aqueous reaction that uses the solvent H2O as a...Ch. 20 - The rate law for the reaction...Ch. 20 - If a reaction has the same rate constant, what...Ch. 20 - List at least four experimentally determined...Ch. 20 - Prob. 20.39ECh. 20 - Prob. 20.40ECh. 20 - Prob. 20.41ECh. 20 - Prob. 20.42ECh. 20 - What is the value of the equilibrium constant of a...Ch. 20 - Prob. 20.44ECh. 20 - Prob. 20.45ECh. 20 - Show how equation 20.33 reduces to a simpler form...Ch. 20 - Write expressions like equation 20.37 for a set of...Ch. 20 - Prob. 20.48ECh. 20 - Prob. 20.49ECh. 20 - Prob. 20.50ECh. 20 - Prob. 20.51ECh. 20 - Prob. 20.52ECh. 20 - Prob. 20.53ECh. 20 - Prob. 20.54ECh. 20 - For what values of time, t, will 210Bi and 206Pb...Ch. 20 - Prob. 20.56ECh. 20 - An interesting pair of consecutive reactions...Ch. 20 - Find limiting forms of equation 20.47 for a k1>>k2...Ch. 20 - Prob. 20.59ECh. 20 - Prob. 20.60ECh. 20 - Prob. 20.61ECh. 20 - Prob. 20.62ECh. 20 - At room temperature (22C), the rate constant for...Ch. 20 - Recently, researchers studying the kinetics of...Ch. 20 - A reaction has k=1.771061/(Ms) at 25.0C and an...Ch. 20 - Prob. 20.66ECh. 20 - Prob. 20.67ECh. 20 - Prob. 20.68ECh. 20 - Nitric oxide, NO, is known to break down ozone,...Ch. 20 - a Suggest a mechanism for the bromination of...Ch. 20 - Prob. 20.71ECh. 20 - Prob. 20.72ECh. 20 - Determine a rate law for the chlorination of...Ch. 20 - Determine a rate law for the chlorination of...Ch. 20 - A proposed mechanism for the gas-phase...Ch. 20 - Prob. 20.76ECh. 20 - The nitration of methanol, CH3OH, by nitrous acid...Ch. 20 - Prob. 20.78ECh. 20 - Many gas-phase reactions require some inert body,...Ch. 20 - Prob. 20.80ECh. 20 - Carbonic anhydrase, an enzyme whose substrate is...Ch. 20 - Show that another form of the Michaelis-Menten...Ch. 20 - Prob. 20.83ECh. 20 - Prob. 20.84ECh. 20 - Prob. 20.85ECh. 20 - Prob. 20.86ECh. 20 - Pyrolysis involves heating compounds to break them...Ch. 20 - Prob. 20.88ECh. 20 - Label the elementary processes for the reaction...Ch. 20 - Prob. 20.90ECh. 20 - What are the rate laws of mechanisms 1 and 2 for...Ch. 20 - Estimate G for an elementary process whose rate...Ch. 20 - Prob. 20.93ECh. 20 - Prob. 20.94ECh. 20 - Prob. 20.95ECh. 20 - For the following two reactions H+Cl2HCl+Cl...Ch. 20 - Prob. 20.97ECh. 20 - Prob. 20.98ECh. 20 - Prob. 20.99ECh. 20 - Consider a reaction that has two parallel pathways...Ch. 20 - Consider a set of first-order consecutive...Ch. 20 - Prob. 20.102E
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- Define stability from both a kinetic and thermodynamic perspective. Give examples to show the differences in these concepts.arrow_forwardThe thermal decomposition of diacetylene, C4H2, was studied at 950 C. Use the following data (K. C. Hou and H. B. Palmer, Journal of Physical Chemistry. Vol. 60, p. 858, 1965) to determine the order of the reaction.arrow_forwardThe initial rate for a reaction is equal to the slope of the tangent line at t 0 in a plot of [A] versus time. From calculus, initial rate = d[A]dt . Therefore. the differential rate law for a reaction is Rate = d[A]dt=k[A]n. Assuming you have some calculus in your background, derive the zero-, first-, and second-order integrated rate laws using the differential rate law.arrow_forward
- The hydrolysis of the sugar sucrose to the sugars glucose and fructose, C12H22O11+H2OC6H12O6+C6H12O6 follows a first-order rate equation for the disappearance of sucrose: Rate =k[C12H22O11] (The products of the reaction, glucose and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules.) (a) In neutral solution, k=2.11011s1 at 27 C and 8.51011s1 at 37 C. Determine the activation energy, the frequency factor, and the rate constant for this equation at 47 C (assuming the kinetics remain consistent with the Arrhenius equation at this temperature). (b) When a solution of sucrose with an initial concentration of 0.150 M reaches equilibrium, the concentration of sucrose is 1.65107M . How long will it take the solution to reach equilibrium at 27 C in the absence of a catalyst? Because the concentration of sucrose at equilibrium is so low, assume that the reaction is irreversible. (c) Why does assuming that the reaction is irreversible simplify the calculation in pan (b)?arrow_forwardWhat is the difference between average rate, initial rate, and instantaneous rate?arrow_forwardAs with any drug, aspirin (acetylsalicylic acid) must remain in the bloodstream long enough to be effective. Assume that the removal of aspirin from the bloodstream into the urine is a lirst-order reaction, with a half-life of about 3 hours. The instructions on an aspirin bottle say to take 1 or 2 tablets every 4 hours. If a person takes 2 aspirin tablets, how much aspirin remains in the bloodstream when it is time for the second dose? (A standard tablet contains 325 mg of aspirin.)arrow_forward
- 11.44 A possible reaction for the degradation of the pesticide DDT to a less harmful compound was simulated in the laboratory. The reaction was found to be first order, with k = 4.0 X 10_H s"' at 25°C. What is the half-life for the degradation of DDT in this experiment, in years?arrow_forwardAmmonia decomposes when heated according to the equation NH3(g) NH2(g) + H(g) The data in the table for this reaction were collected at a high temperature. Plot In [NH3] versus time and 1/[NH3] versus time. What is the order of this reaction with respect to NH3? Find the rate constant for the reaction from the slope.arrow_forwardExperiments have shown that the average frequency of chirping by a snowy tree cricket (Oecanthus fultoni) depends on temperature as shown in the table. Chirping Rate (per min) Temperature (C) 178 25.0 126 20.3 100. 17.3 What is the apparent activation energy of the process that controls the chirping? What is the rate of chirping expected at a temperature of 7.5C?arrow_forward
- 11.51 Peroxyacetyl nitrate (PAN) has the chemical formula CtHjNOj and is an important lung irritant in photochemical smog. An experiment to determine the decomposition kinetics of PAN gave the data below. Determine the order of reaction and calculate the rate constant for the decomposition of PAN. Time, t (min) Partial Pressure of PAN (torr) 0.0 2.00 X 10~’ 10.0 1.61 X 10~} 20.0 1.30 X 10_J 30.0 1.04 X 10"’ 40.0 8.41 X 10-4 50.0 6.77 x 10-4 60.0 5.45 X 10-4arrow_forwardNitryl fluoride is an explosive compound that can be made by oxidizing nitrogen dioxide with fluorine: 2 NO2(g) + F2(g) → 2 NO2F(g) Several kinetics experiments, all done at the same temperature and involving formation of nitryl fluoride, are summarized in this table: Write the rate law for the reaction. Determine what the order of the reaction is with respect to each reactant and each product. Calculate the rate constant k and express it in appropriate units.arrow_forwardMany biochemical reactions are catalyzed by acids. A typical mechanism consistent with the experimental results (in which HA is the acid and X is the reactant) is Step 1: Step 2: Step 3: Derive the rate law from this mechanism. Determine the order of reaction with respect to HA. Determine how doubling the concentration of HA would affect the rate of the reaction.arrow_forward
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