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 20.55E
For what values of time,
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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is
constantly replenished until the organism dies, after which it decays to stable carbon-12 at
a rate proportional to the amount of carbon-14 present, with a half-life of 5594 years.
Suppose C'(t) is the amount of carbon-14 present at time t.
(a) Find the value of the constant k in the differential equation C'=-kC.
k
=
(b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to
be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14
contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in
1988, according to these data?
Age
=
years
[1]: The New York Times, October 18, 1988.
Suppose a quantity is described by the function y(t) = 30,000e-0.05t, where t is measured in years. Find the half-life of the quantity.
Calculate the fraction of atoms in a sample of argon gas at400 K that has an energy of 10.0 kJ or greater.
Chapter 20 Solutions
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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