Physical Chemistry
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 20.97E
Interpretation Introduction

Interpretation:

The structure for the transition state for the given reaction and the data needed to determine the value of k using transition-state theory is to be stated.

Concept introduction:

The Eyring equation gives the variation of rate of reaction with temperature. This equation is for transition state theory and resembles the Arrhenius equation. The Eyring equation is a more accurate method for the calculation of rate constant and also it gives idea of the progression of the reaction at molecular level.

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he equilibrium NH3(aq) + H2O(l) ↔NH4+(aq) + OH−(aq) at 25 °C is subjected to a temperature jump which slightly increases the concentration of NH4+(aq) and OH−(aq). The measured relaxation time is 7.61 ns. The equilibrium constant for the system is 1.78 × 10−5 at 25 °C, and the equilibrium concentration of NH3(aq) is 0.15 mol dm−3. (a) Calculate the rate constant for the forward step. kf,eff = _____________. Just value in 3 sig. fig., normal or exponential format,  e.g. type in 1.16E6 meaning 1.16 x 106, must use capital E here. Choose a unit in the next question, must be in one of those. (b) choose a unit for the forward rate constant.     no unit     s-1     L/mol/s     L2/mol2/s
Manfred Eigen, a German physical chemist working dur- ing the 1970s and 1980s, earned a Nobel Prize for devel- oping the "temperature-jump" method for studying kinetics of very rapid reactions in solution, such as proton transfer. Eigen and his co-workers found that the specific rate of proton transfer from a water molecule to an ammonia molecule in a dilute aqueous solution is k = 2 x 10° s-'. The equilibrium constant Kµ, for the reaction of ammonia with water is 1.8 x 10-8, What, if anything, can be deduced from this information about the rate of transfer of a proton from NH; to a hydroxide ion? Write equations for any reactions you mention, making it clear to which reaction(s) any quoted constant(s) apply.
The equilibrium NH3(aq) + H2O(l) ↔NH4+(aq) + OH−(aq) at 25 °C is subjected to a temperature jump which slightly increases the concentration of NH4+(aq) and OH−(aq). The measured relaxation time is 7.61 ns. The equilibrium constant for the system is 1.78 × 10−5 at 25 °C, and the equilibrium concentration of NH3(aq) is 0.15 mol dm−3. (a) Calculate the rate constant for the forward step. kf,eff = _____________. (b) choose a unit for the forward rate constant. (c) Calculate the rate constant for the reverse reaction. krev = _____________.

Chapter 20 Solutions

Physical Chemistry

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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Kinetics: Initial Rates and Integrated Rate Laws; Author: Professor Dave Explains;https://www.youtube.com/watch?v=wYqQCojggyM;License: Standard YouTube License, CC-BY