menu
bartleby
search
close search
Hit Return to see all results
close solutoin list

The decomposition of NO 2 ( g ) occurs by the following bimolecular elementary reaction: 2 NO 2 ( g ) → 2 NO ( g ) + O 2 ( g ) The rate constant at 273 K is 2.3 × 10 −12 L/mol · s, and the activation energy is 111 kJ/mol. How long will it take for the concentration of NO 2 ( g ) to decrease from an initial partial pressure of 2.5 atm to 1.5 atm at 500. K? Assume ideal gas behavior.

BuyFindarrow_forward

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 11, Problem 108CP
Textbook Problem
171 views

The decomposition of NO2(g) occurs by the following bimolecular elementary reaction:

2 NO 2 ( g ) 2 NO ( g ) + O 2 ( g )

The rate constant at 273 K is 2.3 × 10−12 L/mol · s, and the activation energy is 111 kJ/mol. How long will it take for the concentration of NO2(g) to decrease from an initial partial pressure of 2.5 atm to 1.5 atm at 500. K? Assume ideal gas behavior.

Interpretation Introduction

Interpretation: The time taken for the given concentration of NO2(g) to decrease from an initial pressure to final pressure is to be calculated. Ideal gas behavior is to be assumed.

Concept introduction: Rate constant is a proportionality coefficient that relates the rate of chemical reaction at a specific temperature to the concentration of the reactant.

Arrhenius equation is the relation which describes the temperature dependence of rate constant.

Activation energy is the minimum energy required to start a chemical reaction.

Elementary reaction is the reaction in which the reactant directly converts to the product only with a single step.

In elementary reaction the order of reaction is equal to the number of reactants involve in the reaction.

A gas that follows ideal gas laws is known as an ideal gas.

To determine: The time taken by the NO2 molecule to decrease the concentration of NO2 from an initial pressure of 2.5atm to 1.5atm at 500K by assuming ideal gas behavior.

Explanation of Solution

Explanation

Given

The given reaction is stated as,

2NO2(g)2NO(g)+O2(g)

The rate constant at 273K for the reaction is 2.3×1012L/mols.

The activation energy is 111kJ/mol.

As the rate constant is dependent on temperature therefore, the new rate constant at the temperature 500K is determined by the Arrhenius equation,

lnk2k1=EaR(1T11T2)

Where,

  • The constants k1,k2 are the rate constants and T1,T2 are the temperatures.
  • The term Ea is known as activation energy.
  • The term R is known as gas constant with the universal value of 8.314J/mol
  • The temperature 273K is considered as T1 so, its rate constant is termed as k1 and is equal to 2.3×1012L/mol.s.
  • Similarly, the temperature 500K is considered as T2 so, its rate constant is termed as k2.

Substitute the value of k2,Ea,T1,T2 and R to calculate the rate constant k2.

lnk2k1=EaR(1T11T2)lnk22.3×1012L/mols=111kJ/mol8.314J/molK(1273K1500K)

Simplify the above expression.

lnk22.3×1012L/mols=0

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 11 Solutions

Chemistry: An Atoms First Approach
Show all chapter solutions
add
Ch. 11 - Why does a catalyst increase the rate of a...Ch. 11 - Define stability from both a kinetic and...Ch. 11 - Describe at least two experiments you could...Ch. 11 - Make a graph of [A] versus time for zero-, first-,...Ch. 11 - How does temperature affect k. the rate constant?...Ch. 11 - Consider the following statements: In general, the...Ch. 11 - For the reaction A + B C, explain at least two...Ch. 11 - A friend of yours states, A balanced equation...Ch. 11 - Provide a conceptual rationale for the differences...Ch. 11 - The rate constant (k) depends on which of the...Ch. 11 - Each of the statements given below is false....Ch. 11 - Define what is meant by unimolecular and...Ch. 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 - The rate law for a reaction can be determined only...Ch. 11 - Table 11-2 illustrates how the average rate of a...Ch. 11 - The type of rate law for a reaction, either the...Ch. 11 - The initial rate of a reaction doubles as the...Ch. 11 - Hydrogen reacts explosively with oxygen. However,...Ch. 11 - The central idea of the collision model is that...Ch. 11 - Consider the following energy plots for a chemical...Ch. 11 - Enzymes are kinetically important for many of the...Ch. 11 - Would the slope of a ln(k) versus 1/T plot (with...Ch. 11 - Consider the reaction 4PH3(g)P4(g)+6H2(g) If, in a...Ch. 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 - A certain reaction has the following general form:...Ch. 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 - At 500 K in the presence of a copper surface,...Ch. 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 - Consider the data plotted in Exercise 45 when...Ch. 11 - The reaction AB+C is known to be zero order in A...Ch. 11 - The decomposition of hydrogen iodide on finely...Ch. 11 - A certain first-order reaction is 45.0% complete...Ch. 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 - The rate law for the reaction...Ch. 11 - For the reaction A products, successive...Ch. 11 - Theophylline is a pharmaceutical drug that is...Ch. 11 - You and a coworker have developed a molecule...Ch. 11 - Consider the hypothetical reaction A+B+2C2D+3E...Ch. 11 - Write the rate laws for the following elementary...Ch. 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 - The activation energy for the reaction...Ch. 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 - The activation energy for the decomposition of...Ch. 11 - A first-order reaction has rate constants of 4.6 ...Ch. 11 - A certain reaction has an activation energy of...Ch. 11 - Chemists commonly use a rule of thumb that an...Ch. 11 - Which of the following reactions would you expect...Ch. 11 - One reason suggested for the instability of long...Ch. 11 - One mechanism for the destruction of ozone in the...Ch. 11 - One of the concerns about the use of Freons is...Ch. 11 - Assuming that the mechanism for the hydrogenation...Ch. 11 - The decomposition of NH3 to N2 and H2 was studied...Ch. 11 - The decomposition of many substances on the...Ch. 11 - For enzyme-catalyzed reactions that follow the...Ch. 11 - A popular chemical demonstration is the magic...Ch. 11 - The activation energy for a reaction is changed...Ch. 11 - Consider the following representation of the...Ch. 11 - The reaction H2SeO3(aq) + 6I-(aq) + 4H+(aq) Se(s)...Ch. 11 - Consider two reaction vessels, one containing A...Ch. 11 - Sulfuryl chloride (SO2Cl2) decomposes to sulfur...Ch. 11 - For the reaction 2N2O5(g)4NO2(g)+O2(g) the...Ch. 11 - Experimental values for the temperature dependence...Ch. 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 - The reaction NO(g)+O3NO2(g)+O2(g) was studied by...Ch. 11 - Most reactions occur by a series of steps. The...Ch. 11 - You are studying the kinetics of the reaction...Ch. 11 - The decomposition of NO2(g) occurs by the...Ch. 11 - The following data were collected in two studies...Ch. 11 - Consider the following hypothetical data collected...Ch. 11 - Consider the hypothetical reaction A+B+2C2D+3E In...Ch. 11 - Hydrogen peroxide and the iodide ion react in...Ch. 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...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Alcohol is a natural substance and therefore does no real damage to body tissues. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

A ________ is dissolved in a solvent. a. molecule b. salt c. solute d. chemical bond

Biology: The Unity and Diversity of Life (MindTap Course List)

What is the standard unit of volume in the SI?

An Introduction to Physical Science

What are sister chromatids?

Human Heredity: Principles and Issues (MindTap Course List)

What is the IUPAC name of the molecule whose carbon skeleton is shown below?

Introductory Chemistry: An Active Learning Approach

In the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. Determ...

Physics for Scientists and Engineers, Technology Update (No access codes included)