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Solved: What factors influence reaction rates? How?

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 61P Chapter 15

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 61P

Problem 5Q

What factors influence reaction rates? How?

Step-by-Step Solution:
Step 1 of 3

Answer :

Chemical reactions proceed at different rates. The factors that affect reaction rates are:

  • surface area of a solid reactant
  • concentration or pressure of a reactant
  • temperature
  • nature of the reactants
  • presence/absence of a catalyst.

A change in one or more of these factors may alter the rate of a reaction. In this lesson, you will define these factors, and describe and predict their effects on reaction rates.

Surface Area

Surface area is the exposed matter of a solid substance.

Imagine that you are holding a perfect cube of magnesium. The surface area is the sum of the area of all six sides of the cube. The surface area of the cube can be increased by dividing the cube into smaller cubes. Surface area is maximized when a single large cube is crushed to fine powder.

The rate of reaction of a solid substance is related to its surface area. In a reaction between a solid and an aqueous/liquid/gas species, increasing the surface area of the solid-phase reactant increases the number of collisions per second and therefore increases the reaction rate.

In a reaction between magnesium metal and hydrochloric acid, magnesium atoms must collide with the hydrogen ions. When the magnesium atoms form one big lump...

however, ...

the number of collisions per second between magnesium and hydrogen is higher, and the rate of reaction is faster.

Increasing the surface area of a solid reactant increases the reaction rate.

By increasing surface area, there are more collisions per unit of time. That's why many solids are powdered using a mortar and pestle before being used in a reaction.

Examples of other reactions where surface area is important are:

  • active metals with acids, e.g. HCl with zinc
  • coal dust with oxygen gas
  • grain dust with oxygen gas

Concentration

The concentration of a substance can be expressed in a variety of ways depending on the nature of a substance. Aqueous solutions typically have their concentrations expressed in mol/L. For example, a solution made by dissolving sodium hydroxide in water has its concentration expressed as moles of NaOH per litre of solution. Gases can also have their concentrations expressed in mol/L.

In terms of the collision theory, increasing the concentration of a reactant increases in the number of collisions between the reacting species per second and therefore increases the reaction rate.

Consider the reaction between hydrochloric acid and zinc metal.Concentrated versus dilute HCl with Zn

In one beaker, 6.00 mol/L HCl is reacted with 2.00 g of Zn.

In another, 1.00 mol/L HCl is reacted with 2.00 g of Zn.

Which reaction should occur at the faster rate?

In terms of the collision theory, collisions between zinc atoms and hydrochloric acid are more frequent in the beaker containing 6.0 M HCl - there is more acid per unit of volume.

          

You can change the concentration of an aqueous species by simply adding more solute (to make it more concentrated) or adding more solvent (to make it more dilute).

You can change the concentration of a gas by adding more gas to a fixed volume or by decreasing the volume of the container. Conversely, the concentration of a gas can be decreased by removing (evacuating) a gas from a fixed volume or by increasing the volume of the container.

Pressure

The concentration of a gas is a function of the pressure on the gas. Increasing the pressure of a gas is exactly the same as increasing its concentration. If you have a certain number of gas molecules, you can increase the pressure by forcing them into a smaller volume.

Under higher pressure or at a higher concentration, gas molecules collide more frequently and react at a faster rate. Conversely, increasing the volume of a gas decreases pressure which in turn decreases the collision frequency and thus reduces the reaction rate.

It is important to note however that there are reactions involving gases in which a pressure change does not affect the reaction rate. For this reason, the rates of reactions involving gases have to be determined by experiment.

Also note that solids and liquids are not affected by pressure changes.

Need a good analogy for the effect of concentration on the rate of a chemical reaction?

Temperature

With the exception of some precipitation reactions involving ionic compounds in solution, just about all chemical reactions take place at a faster rate at higher temperatures. The question is why?

Temperature (in Kelvin degrees) is proportional to the kinetic energy of the particles in a substance. For example, if the Kelvin temperature of a substance is doubled, then the average kinetic energy of the particles in that substance is doubled.

 

At higher temperatures, particles collide more frequently and with greater intensity.

 

Increasing the temperature by say 10°C causes some of the intermediate speed molecules to move faster. The result is more molecules with sufficient kinetic energy to form an activated complex upon collision!

Now consider the relationship between threshold kinetic energy and activation energy. Threshold kinetic energy is the minimum amount of energy required for colliding particles to react - it is the equivalent of activation energy or the minimum potential energy gain required to form an activated complex.

As you can see on the graph, a small increase in temperature can double the number of molecules with the threshold kinetic energy.

Thus there are two effects of increasing temperature: greater collision intensity and more frequent collisions.

A general rule is that a 10°C temperature increase can double a reaction rate. It turns out that the increase in the reaction rate is mainly a function of the more intense collisions. Increased collision frequency is not as significant a factor.

Nature of Reactants

Individual properties of substances also affect reaction rates. The scope of these properties is broad and there are few generalizations that you can apply consistently. Some of the properties in this category are state of matter, molecular size, bond type and bond strength.

State of Matter

Gases tend to react faster than solids or liquids: It takes energy to separate particles from each other. In order to burn candle wax, the solid wax has to be melted and then vaporized before it reacts with oxygen. Methane gas is already in the gas state so it burns faster than wax.

balanced equation for combustion of methane   fast

balanced equation for combustion of wax    slow

 

Aqueous ions tend to react faster than species in other states of matter: Solid lead(II) nitrate will react with solid potassium iodide, but the reaction is really, really slow. That's because the ionic bonding in each reactant is strong and the ions in each compound are hard to separate from each other. When aqueous solutions of these compounds are mixed, the formation of lead(II) iodide is rapid. In aqueous solutions, the ions of each compound are dissociated. When the two the solutions are mixed together, all that is required for a reaction to occur is contact between the lead(II) ions and the iodide ions.

 

Bond Type

Reactions involving ionic species tend to proceed faster than reactions involving molecular compounds.

Bond Strength

Reactions involving the breaking of weaker bonds proceed faster than reactions involving the breaking of stronger bonds. For example, double carbon to carbon bonds are stronger than single C-C bonds.

 

Number of Bonds/Molecular Size

Reactions involving the breaking of fewer bonds per reactant proceed faster than those involving the breaking of a larger number of bonds per reactant.

   

   

The simple ion Fe2+ reacts faster than oxalate (OOCCOO2-).

Kerosene burns more slowly than methane because there are more bonds to be broken per molecule of kerosene than there are per molecule of methane. Kerosene is a larger molecule

balanced equation for combustion of methane   fast

balanced chemical equation for combustion of kerosine   slow

Catalyst

A catalyst is a species that speeds up a chemical reaction without being chemically changed upon completion of the reaction. In other words, the mass of a catalyst is the same before and after a reaction occurs.

Common examples of catalysts include:

  • MnO2 in the decomposition of H2O2
  • Fe in the manufacture of NH3
  • Pt in the conversion of NO and CO to N2 and CO2

Recall that collisions only result in reactions if the particles collide with enough energy to get the reactions started (i.e. to overcome the activation energy barrier).

Also recall that activation energy corresponds to threshold energy.

Only collisions involving particles with sufficient kinetic energy result in the formation of an activated complex. Particles possessing less than the threshold energy simply bounce apart upon collision.

The number of successful collisions per unit of time be increased by lowering the threshold energy (or in terms of potential energy, lowering the activation energy).

Adding the appropriate catalyst to a chemical system has exactly this effect on threshold/activation energy.

A catalyst provides an alternative pathway for the reaction - a pathway that has a lower activation energy. Be careful how you say it.

The catalyzed pathway (shown as a dotted green line above) has lower activation energy.

Step 2 of 3

Chapter 15, Problem 61P is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

This full solution covers the following key subjects: factors, Influence, Rates, reaction. This expansive textbook survival guide covers 19 chapters, and 2046 solutions. The full step-by-step solution to problem: 61P from chapter: 15 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. Since the solution to 61P from 15 chapter was answered, more than 452 students have viewed the full step-by-step answer. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. The answer to “What factors influence reaction rates? How?” is broken down into a number of easy to follow steps, and 6 words.

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