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Chemistry

9th Edition
Steven S. Zumdahl
Publisher: Cengage Learning
ISBN: 9781133611097
BuyFind

Chemistry

9th Edition
Steven S. Zumdahl
Publisher: Cengage Learning
ISBN: 9781133611097

Solutions

Chapter
Section
Chapter 12, Problem 4RQ
Textbook Problem

The 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 ] d t . Therefore. the differential rate law for a reaction is Rate = d [ A ] d t = 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.

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Chapter 12 Solutions

Chemistry
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Ch. 12 - Why does a catalyst increase the rate of a...Ch. 12 - Define stability from both a kinetic and...Ch. 12 - Describe at least two experiments you could...Ch. 12 - Make a graph of [A] versus time for zero-, first-,...Ch. 12 - How does temperature affect k, the rate constant?...Ch. 12 - Consider the following statements: In general, the...Ch. 12 - For the reaction A+BC, explain at least two ways...Ch. 12 - A friend of yours states, A balanced equation...Ch. 12 - Provide a conceptual rationale for the differences...Ch. 12 - The rate constant (k) depends on which of the...Ch. 12 - Each of the statements given below is false....Ch. 12 - Define what is meant by unimolecular and...Ch. 12 - The plot below shows the number of collisions with...Ch. 12 - For the reaction O2(g)+2NO(g)2NO2(g) the observed...Ch. 12 - The rate law for a reaction can be determined only...Ch. 12 - Table 12.2 illustrates how the average rate of a...Ch. 12 - The type of rate law for a reaction, either the...Ch. 12 - The initial rate of a reaction doubles as the...Ch. 12 - Hydrogen reacts explosively with oxygen. However,...Ch. 12 - The central idea of the collision model is that...Ch. 12 - Consider the following energy plots for a chemical...Ch. 12 - Enzymes are kinetically important for many of the...Ch. 12 - Would the slope of a ln(k) versus 1/T plot (with...Ch. 12 - Consider the reaction 4PH3(g)P4(g)+6H2(g) If, in a...Ch. 12 - In the Haber process for the production of...Ch. 12 - At 40C, H2O2 (aq) will decompose according to the...Ch. 12 - Consider the general reaction aA+bBcC and the...Ch. 12 - What are the units for each of the following if...Ch. 12 - The rate law for the reaction...Ch. 12 - The reaction 2NO(g)+Cl2(g)2NOCl(g) was studied at...Ch. 12 - The reaction 2I-(aq)+S2O82-(aq)I2(aq)+2SO42-(aq)...Ch. 12 - The decomposition of nitrosyl chloride was...Ch. 12 - The following data were obtained for the gas-phase...Ch. 12 - The reaction I(aq)+OCl(aq)IO(aq)+Cl(aq) was...Ch. 12 - The reaction 2NO(g)+O2(g)2NO2(g) was studied. and...Ch. 12 - The rote of the reaction between hemoglobin (Hb)...Ch. 12 - The following data were obtained for the reaction...Ch. 12 - The decomposition of hydrogen peroxide was...Ch. 12 - A certain reaction has the following general form:...Ch. 12 - The rate of the reaction NO2(g)+CO(g)NO(g)+CO2(g)...Ch. 12 - A certain reaction has the following general form:...Ch. 12 - The decomposition of ethanol (C2H5OH) on an...Ch. 12 - At 500 K in the presence of a copper surface,...Ch. 12 - The dimerization of butadiene 2C4H6(g)C8H12(g) was...Ch. 12 - The rate of the reaction O(g)+NO2(g)NO(g)+O2(g)...Ch. 12 - Experimental data for the reaction A2B+C have been...Ch. 12 - Consider the data plotted in Exercise 45 when...Ch. 12 - The reaction AB+C is known to be zero order in A...Ch. 12 - The decomposition of hydrogen iodide on finely...Ch. 12 - A certain first-order reaction is 45.0% complete...Ch. 12 - A first-order reaction is 75.0% complete in 320....Ch. 12 - The rate law for the decomposition of phosphine...Ch. 12 - DDT (molar mass = 354.49 g/mol) was a widely used...Ch. 12 - Consider the following initial rate data for the...Ch. 12 - The rate law for the reaction...Ch. 12 - For the reaction A products, successive...Ch. 12 - Theophylline is a pharmaceutical drug that is...Ch. 12 - You and a coworker have developed a molecule...Ch. 12 - Consider the hypothetical reaction A+B+2C2D+3E...Ch. 12 - Write the rate laws for the following elementary...Ch. 12 - A possible mechanism for the decomposition of...Ch. 12 - A proposed mechanism for a reaction is...Ch. 12 - The mechanism for the gas-phase reaction of...Ch. 12 - For the following reaction profile, indicate a....Ch. 12 - Draw a rough sketch of the energy profile for each...Ch. 12 - The activation energy for the reaction...Ch. 12 - The activation energy for some reaction...Ch. 12 - The rate constant for the gas-phase decomposition...Ch. 12 - The reaction (CH3)3CBr+OH(CH3)3COH+Br in a certain...Ch. 12 - The activation energy for the decomposition of...Ch. 12 - A first-order reaction has rate constants of 4.6 ...Ch. 12 - A certain reaction has an activation energy of...Ch. 12 - Chemists commonly use a rule of thumb that an...Ch. 12 - Which of the following reactions would you expect...Ch. 12 - One reason suggested for the instability of long...Ch. 12 - One mechanism for the destruction of ozone in the...Ch. 12 - One of the concerns about the use of Freons is...Ch. 12 - Assuming that the mechanism for the hydrogenation...Ch. 12 - The decomposition of NH3 to N2 and H2 was studied...Ch. 12 - The decomposition of many substances on the...Ch. 12 - For enzyme-catalyzed reactions that follow the...Ch. 12 - A popular chemical demonstration is the magic...Ch. 12 - The activation energy for a reaction is changed...Ch. 12 - Consider the following representation of the...Ch. 12 - The reaction H2SeO3(aq) + 6I-(aq) + 4H+(aq) Se(s)...Ch. 12 - Consider two reaction vessels, one containing A...Ch. 12 - Sulfuryl chloride (SO2Cl2) decomposes to sulfur...Ch. 12 - For the reaction 2N2O5(g)4NO2(g)+O2(g) the...Ch. 12 - Experimental values for the temperature dependence...Ch. 12 - Cobra venom helps the snake secure food by binding...Ch. 12 - Iodomethane (CH3I) is a commonly used reagent in...Ch. 12 - Experiments during a recent summer on a number of...Ch. 12 - The activation energy of a certain uncatalyzed...Ch. 12 - Consider the reaction 3A+B+CD+E where the rate law...Ch. 12 - The thiosulfate ion (S2O32) is oxidized by iodine...Ch. 12 - The reaction A(aq)+B(aq)products(aq) was studied,...Ch. 12 - A certain substance, initially present at 0.0800...Ch. 12 - A reaction of the form aAProducts gives a plot of...Ch. 12 - A certain reaction has the form aAProducts At a...Ch. 12 - Which of the following statement(s) is(are) true?...Ch. 12 - Consider the hypothetical reaction A2(g) + B2(g) ...Ch. 12 - Experiments have shown that the average frequency...Ch. 12 - Consider a reaction of the type aA products, in...Ch. 12 - A study was made of the effect of the hydroxide...Ch. 12 - Two isomers (A and B) of a given compound dimerize...Ch. 12 - The reaction NO(g)+O3NO2(g)+O2(g) was studied by...Ch. 12 - Most reactions occur by a series of steps. The...Ch. 12 - You are studying the kinetics of the reaction...Ch. 12 - The decomposition of NO2(g) occurs by the...Ch. 12 - The following data were collected in two studies...Ch. 12 - Consider the following hypothetical data collected...Ch. 12 - Consider the hypothetical reaction A+B+2C2D+3E In...Ch. 12 - Hydrogen peroxide and the iodide ion react in...Ch. 12 - Sulfuryl chloride undergoes first-order...Ch. 12 - Upon dissolving InCl(s) in HCl, In+(aq) undergoes...Ch. 12 - The decomposition of iodoethane in the gas phase...Ch. 12 - Consider the following reaction: CH3X+YCH3Y+X At...

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