Chemistry: An Atoms First Approach
Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
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Chapter 11, Problem 1RQ

Define reaction rate. Distinguish between the initial rate, average rate, and instantaneous rate of a chemical reaction. Which of these rates is usually fastest? The initial rate is the rate used by convention. Give a possible explanation as to why.

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Interpretation Introduction

Interpretation: The definition of reaction rate is to be stated. A distinction between the terms initial rate, average rate and the instantaneous rate of a chemical reaction and the fastest rate among these is to be determined. An explanation regarding the usage of the initial rate as the rate by convention is to be stated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction.

Answer to Problem 1RQ

Answer

The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction.

Explanation of Solution

To determine: The definition of reaction rate.

The reaction rate or the rate of a reaction is defined as the change observed in the concentration of a reactant or a product per unit time.

For the reaction,

AP

RateofReaction =RateofdisappearanceofA=DecreaseinconcentrationofATimeTaken= Δ[A]  ΔT

RateofReaction =RateofappearanceofP=IncreaseinconcentrationofPTimeTaken= +Δ[P]  ΔT

To determine: A distinction between the terms initial rate, average rate and the instantaneous rate of a chemical reaction and the fastest rate among the given rates.

Solution: The initial rate of a reaction is faster than the average rate and the instantaneous rate of a given chemical reaction.

The rate of a reaction observed at any instant of time is known as the ‘instantaneous rate of a reaction’. It can also be defined as thechange of concentration per unit time.

The rate of a reaction that is measured at comparatively longer intervals of time is known as the ‘average rate of the reaction’. The rate of a reaction keeps on changing throughout the reaction process. Hence, the rate of reaction generally observed is the average rate of the reaction during a specific time interval.

The instantaneous rate of a reaction that is measured initially or at t=0 is known as the ‘initial rate of the reaction’. It can be determined experimentally as well as graphically.

The initial rate of a reaction is faster than the average rate and the instantaneous rate of a given chemical reaction.

To determine: An explanation regarding the usage of the initial rate as the rate by convention.

Solution: The rate of a reaction at t=0 depends only on the forward reaction as the formation of products has not been initiated. Therefore, the initial rate of a reaction is the rate used by convention.

The instantaneous rate of a reaction that is measured initially or at t=0 is known as the initial rate of the reaction. At this time interval the formation of products has not started yet.

Hence, the rate at this instant depends only upon the forward reaction. The reverse reaction does not occur as there is no formation of products. Therefore, the initial rate of a reaction is the rate used by convention.

Conclusion

The initial rate of a reaction is faster than the average rate and the instantaneous rate of a given chemical reaction.

The rate of a reaction at t=0 depends only on the forward reaction as the formation of products has not been initiated. Therefore, the initial rate of a reaction is the rate used by convention.

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Chapter 11 Solutions

Chemistry: An Atoms First Approach

Ch. 11 - Why does a catalyst increase the rate of a...Ch. 11 - Prob. 1ALQCh. 11 - Describe at least two experiments you could...Ch. 11 - Prob. 3ALQCh. 11 - Prob. 4ALQCh. 11 - Consider the following statements: In general, the...Ch. 11 - For the reaction A + B C, explain at least two...Ch. 11 - Prob. 7ALQCh. 11 - Prob. 8ALQCh. 11 - Prob. 9ALQCh. 11 - Prob. 10QCh. 11 - Prob. 11QCh. 11 - The plot below shows the number of collisions with...Ch. 11 - For the reaction O2(g)+2NO(g)2NO2(g) the observed...Ch. 11 - Prob. 14QCh. 11 - Prob. 15QCh. 11 - Prob. 16QCh. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Consider the following energy plots for a chemical...Ch. 11 - Prob. 21QCh. 11 - Would the slope of a ln(k) versus 1/T plot (with...Ch. 11 - Prob. 23ECh. 11 - In the Haber process for the production of...Ch. 11 - At 40C, H2O2 (aq) will decompose according to the...Ch. 11 - Consider the general reaction aA+bBcC and the...Ch. 11 - What are the units for each of the following if...Ch. 11 - The rate law for the reaction...Ch. 11 - The reaction 2NO(g)+Cl2(g)2NOCl(g) was studied at...Ch. 11 - The reaction 2I-(aq)+S2O82-(aq)I2(aq)+2SO42-(aq)...Ch. 11 - The decomposition of nitrosyl chloride was...Ch. 11 - The following data were obtained for the gas-phase...Ch. 11 - The reaction I(aq)+OCl(aq)IO(aq)+Cl(aq) was...Ch. 11 - The reaction 2NO(g)+O2(g)2NO2(g) was studied. and...Ch. 11 - The rote of the reaction between hemoglobin (Hb)...Ch. 11 - The following data were obtained for the reaction...Ch. 11 - The decomposition of hydrogen peroxide was...Ch. 11 - Prob. 38ECh. 11 - The rate of the reaction NO2(g)+CO(g)NO(g)+CO2(g)...Ch. 11 - A certain reaction has the following general form:...Ch. 11 - The decomposition of ethanol (C2H5OH) on an...Ch. 11 - Prob. 42ECh. 11 - The dimerization of butadiene 2C4H6(g)C8H12(g) was...Ch. 11 - The rate of the reaction O(g)+NO2(g)NO(g)+O2(g)...Ch. 11 - Experimental data for the reaction A2B+C have been...Ch. 11 - Prob. 46ECh. 11 - The reaction AB+C is known to be zero order in A...Ch. 11 - The decomposition of hydrogen iodide on finely...Ch. 11 - Prob. 49ECh. 11 - A first-order reaction is 75.0% complete in 320....Ch. 11 - The rate law for the decomposition of phosphine...Ch. 11 - DDT (molar mass = 354.49 g/mol) was a widely used...Ch. 11 - Consider the following initial rate data for the...Ch. 11 - Prob. 54ECh. 11 - Prob. 55ECh. 11 - Prob. 56ECh. 11 - You and a coworker have developed a molecule...Ch. 11 - Consider the hypothetical reaction A+B+2C2D+3E...Ch. 11 - Prob. 59ECh. 11 - A possible mechanism for the decomposition of...Ch. 11 - A proposed mechanism for a reaction is...Ch. 11 - The mechanism for the gas-phase reaction of...Ch. 11 - For the following reaction profile, indicate a....Ch. 11 - Draw a rough sketch of the energy profile for each...Ch. 11 - Prob. 65ECh. 11 - The activation energy for some reaction...Ch. 11 - The rate constant for the gas-phase decomposition...Ch. 11 - The reaction (CH3)3CBr+OH(CH3)3COH+Br in a certain...Ch. 11 - Prob. 69ECh. 11 - A first-order reaction has rate constants of 4.6 ...Ch. 11 - Prob. 71ECh. 11 - Prob. 72ECh. 11 - Which of the following reactions would you expect...Ch. 11 - Prob. 74ECh. 11 - One mechanism for the destruction of ozone in the...Ch. 11 - One of the concerns about the use of Freons is...Ch. 11 - Prob. 77ECh. 11 - The decomposition of NH3 to N2 and H2 was studied...Ch. 11 - The decomposition of many substances on the...Ch. 11 - Prob. 80ECh. 11 - Prob. 81ECh. 11 - Prob. 82ECh. 11 - Consider the following representation of the...Ch. 11 - The reaction H2SeO3(aq) + 6I-(aq) + 4H+(aq) Se(s)...Ch. 11 - Prob. 85AECh. 11 - Sulfuryl chloride (SO2Cl2) decomposes to sulfur...Ch. 11 - For the reaction 2N2O5(g)4NO2(g)+O2(g) the...Ch. 11 - Prob. 88AECh. 11 - Cobra venom helps the snake secure food by binding...Ch. 11 - Iodomethane (CH3I) is a commonly used reagent in...Ch. 11 - Experiments during a recent summer on a number of...Ch. 11 - The activation energy of a certain uncatalyzed...Ch. 11 - Consider the reaction 3A+B+CD+E where the rate law...Ch. 11 - The thiosulfate ion (S2O32) is oxidized by iodine...Ch. 11 - The reaction A(aq)+B(aq)products(aq) was studied,...Ch. 11 - A certain substance, initially present at 0.0800...Ch. 11 - A reaction of the form aAProducts gives a plot of...Ch. 11 - A certain reaction has the form aAProducts At a...Ch. 11 - Which of the following statement(s) is( are) true?...Ch. 11 - Consider the hypothetical reaction A2(g) + B2(g) ...Ch. 11 - Experiments have shown that the average frequency...Ch. 11 - Consider a reaction of the type aA products, in...Ch. 11 - A study was made of the effect of the hydroxide...Ch. 11 - Two isomers (A and B) of a given compound dimerize...Ch. 11 - Prob. 105CPCh. 11 - Most reactions occur by a series of steps. The...Ch. 11 - Prob. 107CPCh. 11 - The decomposition of NO2(g) occurs by the...Ch. 11 - The following data were collected in two studies...Ch. 11 - Prob. 110CPCh. 11 - Prob. 111CPCh. 11 - Prob. 112CPCh. 11 - Sulfuryl chloride undergoes first-order...Ch. 11 - Upon dissolving InCl(s) in HCl, In+(aq) undergoes...Ch. 11 - The decomposition of iodoethane in the gas phase...Ch. 11 - Consider the following reaction: CH3X+YCH3Y+X At...
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