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Interactive Chemistry Multimedia SoftwareCopyright 2001 CyberEd, Inc.Chemical ReactionsProgram Supplement

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementChemical ReactionsTable of ContentsSubject:(Jump to Page #)Page #Scenes 1-9Introduction and Review3Scenes 10-14Solutions8Scenes 15-23Chemical Equations11Scenes 24-46Types of Chemical Reactions16Quizzes27Multiple Choice Exam35Key to Quizzes44Exam Key44Glossary45Page 2 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScenes 1-9Introduction and ReviewI. IntroductionA. TerminologyII. ReviewA. Molecules and Molecular FormulasB. Ions and Formula Units1. Definition of Ions2. Ionic Terminology3. Determining the Ions an Atom Forms4. Ionic Bonding5. Formula Unitsa. Determining Formula UnitsScene #(1)(2)(3)(3)(4)(4)(5)(6)(7)(8)(9)Page 3 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 1At a recent celebration, you may have seen fireworks. The fireworks’display of color and sound was the result of chemical reactions. Chemicalreactions constantly take place all around you, though many are less dramaticthan fireworks exploding. A car rusting in a field, the hardening of concrete at aconstruction site, and the digestion of food inside the human body are allexamples of chemical reactions. The careful, systematic study of what happensduring chemical reactions has provided chemists with much of their knowledgeabout chemistry. This program shows how to balance chemical equations, suchas the one for the reaction of potassium metal and water. Knowing how tobalance equations is a valuable skill that will help you understand chemicalreactions. You will be sho wn a classification system that describes several typesof reactions. Before exploring chemical reactions, the program will start with adefinition of terms that will be used, a brief review of compounds, and anoverview of solutions.Scene 2A chemical reactionoccurs when one or moresubstances are convertedinto new substances havingdifferent chemical andphysical properties. Forexample, when a car rusts,iron and oxygen combineand form iron(III) oxide. Thesubstances present at thestart of a reaction are calledreactants. In the rusting carexample, iron and oxygenare the reactants. The substances that result from a chemical reaction are calledthe products. In the previous example, the product is iron(III) oxide. In achemical reaction, reactants are converted into products. A balanced chemicalequation provides a shorthand method for representing the number and types ofatoms involved in a reaction.Scene 3The following scenes provide a brief review of chemical bonds and thenature of ions. There are two different types of bonds in various chemicalcompounds; covalent and ionic. Covalent bonds result from the sharing ofelectrons between atoms. The sharing of electrons in covalent bonds createsmolecules. A molecule is a collection of covalently bonded atoms that behavesas a unit, such as the water molecule. As anyone who has seen the ocean isaware, bodies of water can be quite large, but each water molecule is a discretePage 4 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program Supplemententity, with specific hydrogen atoms attached to a specific oxygen atom. Becauseof this, molecules are represented by molecular formulas, in which the symbolof each element in the molecule is followed by a subscript indicating how manyatoms of that element are in the molecule. No subscript after an element’ssymbol indicates that just one atom of that element is present in each molecule.For example, water is H2O, because two hydrogen atoms and one oxygen atomare covalently bonded. Hydrogen peroxide is a molecule in which two hydrogenatoms and two oxygen atoms are covalently bonded, and thus is symbolizedH2O2.Scene 4Ionic bonds form from the attraction among oppositely charged ions. Ionsare atoms or groups of atoms that have lost or gained electrons and thus takenon a positive or negative charge. An atom is electrically neutral because it has asmany electrons surrounding the nucleus as protons in the nucleus. Sinceelectrons are negatively charged, gaining electrons gives an ion a negativecharge. For the same reason, losing electrons gives the ion a positive charge,because there are less negative charges to balance the positive charges of thenucleus. The charge on an ion equals the number of electrons it has gained orlost. A superscript placed after an ion’s symbol indicates the magnitude of thecharge and its sign, either positive or negative. For example, magnesium tendsto lose two electrons, forming the Mg2 ion. Ions possessing a single charge areindicated by the appropriate sign for positive or negative, and the number one isimplied and not written. This is illustrated by chlorine, which tends to gain oneelectron, forming the chloride ion, Cl-.Scene 5The elements on the left side of the periodic table, known as the metals,tend to lose electrons, and form cations. A cation is an ion with a positivecharge. The elements to the right side of the periodic table, the nonmetals, tendto accept electrons, becoming negatively charged. A negative ion is known as ananion. A group of atoms covalently bonded together that possesses a charge iscalled a polyatomic ion. Examples of polyatomic ions are carbonate, sulfate,and ammonium ions. In chemical reactions, polyatomic ions tend to act as singleunits. This means that in many reactions they are not broken up and rearrangedand are present in the same grouping in the products and the reactants. Forexample, when sodium sulfate and cesium carbonate react, the polyatomicsulfate ion is transferred from sodium to cesium, and the polyatomic carbonateion switches from cesium to sodium. In both cases, each polyatomic ion makesthe switch as an intact group.Page 5 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 6Knowing which charges individual elements assume when they form ionsis important when balancing equations of chemical reactions. You may havealready learned that an atom tends to form an ion or covalent bond that gives iteight electrons in its valence shell, or outermost shell of electrons. This is knownas the octet rule . The representative elements are the elements in Groups 1Athrough 8A on the periodic table. Each representative element tends to form anion with an octet by gaining or losing the number of electrons that gives them theelectron configuration of the noble gas nearest in atomic number. The noblegases are the elements in Group 8A, which have filled valence shells. Since eachnoble gas has an octet, there is nothing driving it to gain, lose, or share electronsand therefore they tend not to react or form ions. The oxygen atom, which has sixelectrons in its valence shell, achieves an octet by gaining two electrons. Thismeans that the resulting oxide ion has a charge of minus two due to the negativecharge on each of the two extra electrons. The sodium atom only loses oneelectron to achieve an octet; therefore the sodium ion has a plus one charge. Thecharges formed in elements 1B through 8B are not as predictable, and manyhave more than one ionic state. The Stock system of naming ions shows theoxidation number of elements that can form more than one type of ion. Whileoxidation number is a complex subject, for the purposes of this program,oxidation number is equal to the charge on an ion. When using the Stock system,the Roman numeral following the name of an element gives the number of thecharge, for example iron(II) and iron(III). The Stock system is only used withelements that commonly form more than one ion.Scene 7Unlike covalent bonds, which were discussed earlier and result from asharing of electrons, ionic bonds are formed when atoms or groups of atoms loseelectrons to other atoms or groups of atoms. The opposite electrical charges ofthe ions formed lead to the attraction that forms the ionic bond. Ionic compoundsare electrically neutral because the number of positive charges equals thenumber of negative charges. When they are in the solid phase, ionic compoundsexist as repeating units of cations and anions forming what is known as a crystallattice. The nature of the crystal lattice means that most ionic compounds do notexist in discrete units, like covalently bonded molecules. For example, a chlorineatom in a diatomic chlorine molecule is covalently bonded to another specificchlorine atom forming a discrete unit, but a chloride anion in a sodium chloridelattice is equally attracted to all of its neighboring sodium cations by ionic bonds.Page 6 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 8Ionic compounds are represented by formula units, the smallest wholenumber ratios of each ion in the compound. For example, the formula unit forcalcium oxide is CaO, because there are equal amounts of calcium cations andoxide anions. The formula unit for barium chloride is BaCl2 because there aretwice as many chloride anions as there are barium cations within the crystallattice. Notice that the cation is named first in a formula unit. The subscript in aformula unit indicates how many ions of that element are present per formulaunit. As in molecular formulas, lack of a subscript indicates there is one ion ineach formula unit. In neither of these examples is there a charge on the formulaunit. This is because the charges of all the cations and anions in a formula unitwill always cancel, leading to electrical neutrality. For example, in barium chloridethe single negative charges of each of the two chloride anions cancel the twopositive charges of the barium cation.Scene 9In a chemical reaction between ionic compounds, cations and anions areexchanged between reactants in the appropriate proportions to lead to electricalneutrality. This means that when writing the formula unit for an ionic product orreactant, the charges present on the anions in the compound must cancel thecharges on the cations. If you are only given the name of the compound, you candetermine the formula by using what is known as the crisscross method. What isthe formula for iron(III) oxide? First, look at the charges on the cation and anion.When compounds are named using the Stock system, as they will bethroughout the program, the number in parentheses is equal to the charge on theion. Since the cation is always named first in a formula unit, you know that ironhas formed an ion with a plus three charge. Earlier you learned how to determinethat the oxide ion has a charge of minus two by looking at the periodic table. Todetermine the formula unit, crisscross the absolute value of the charge of theanion to the subscript position of the cation, and the absolute value of the chargeof the cation to the subscript position of the anion. Then reduce the subscripts totheir lowest whole number ratio. Since the subscripts in this case are three andtwo, they are already in the lowest ratio.Page 7 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScenes 10-14SolutionsIII. SolutionsA. TerminologyB. SolubilityC. Solutions Make Reactions Easier to StudyD. Ions Dissociate in Aqueous SolutionsE. Solutions of Molecular Compounds(10)(10)(11)(12)(13)(14)Page 8 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 10In the lab, many reactions are performed in solution, so it is important tohave a basic understanding of the properties of solutions. Solutions can exist inany combination of solid, liquid, and gas; a few examples of which are shown onyour screen. A solution is a homogeneous mixture of more than onesubstance. To say a solution is homogeneous means it is uniform throughout,and a sample taken anywhere in the solution will be chemically identical to asample taken anywhere else in the solution. While solutions can exist as solids,liquids or gases, in the lab, solutions are generally liquids or gases. A solvent isthe substance into which other substances, called solutes, dissolve. Water is avery common solvent, both in everyday life and in the lab.Scene 11The measure of the amount of a substance that goes into solution is calledits solubility. Solubility differs for each combination of solvent and solute andalso varies with increasing temperature. If a substance, such as sand, will not gointo solution, it is termed insoluble. Salad oil is insoluble in water, which isdemonstrated by the fact that the two liquids do not mix, and the oil floats on thewater’s surface.Scene 12To illustrate why solutions are o ften used in the study of reactions, look ata common example of a solution, dissolved table salt in water. Once the salt isstirred into solution, there is a uniform distribution of the solute, salt, whichbreaks up into sodium ions and chloride ions in solution, throughout the solvent,which is water. The reason that liquid solutions and gases are used so often toperform reactions is that the reactants are brought into contact much morefrequently in these states than they are in solids. This is because molecules andions in solution move faster and farther than those in a solid. As you will learnwhen you study reaction rates later in your chemistry studies, bringing reactantstogether more frequently greatly increases how quickly a reaction occurs, andfaster reactions are often more practical to study than slower reactions.Page 9 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 13Solutions in whichwater is the solvent areknown as aqueous solutions.When an ionic compounddissolves into aqueoussolution, the cation and theanion separate from eachother. This process ofseparation is calleddissociation, and results inseparated ions moving freelythroughout the solution. Ionsthat have undergonedissociation are said to be dissociated. Although there are many chargedparticles in the solvent, the solution has no net charge, because the positive andnegative charges balance, just as they did in the crystal lattice prior todissociation. The separation of ions in solution makes them much more availableto react than they would be if they were in a solid. Separated ions conduct anelectrical current in solution as they move towards the electrode of oppositecharge. Pure water does not conduct electricity well, so it is possible to tell if acompound has dissociated by determining if a current flows through the solution.The separated ions are known as electrolytes. If a current is conducted inaqueous solution, the compound has dissociated to form electrolytes.Scene 14Some molecular substances also form solutions in water. Many, such astable sugar, dissolve in water, but do not undergo dissociation. They do notconduct electricity through water and therefore are not electrolytes. The reasonthat sugar goes into aqueous solution is related to the polarity of sugarmolecules and water molecules, which will not be discussed in this program.Other molecules, especially molecular acids and bases, do dissociate in waterand produce ions, and are consequently electrolytes. As in the previous scene,the separation of ions increases the ability of the aqueous solution to react,making it easier to study.Page 10 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScenes 15-23Chemical EquationsIV. Chemical EquationsA. Word Equations1. Drawbacks to Word Equations2. Symbols Replace Words in Equations3. Equations Must BalanceB. Balancing Equations1. The Formation of Watera. Subscripts Must Not Be Changedb. Using Coefficients to Balance Oxygenc. Balancing Hydrogen2. Steps to Balancing an Equation3. Symbols in Chemical 22)(23)Page 11 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 15To understand how chemical reactions take place, it is necessary to havea thorough understanding of chemical equations. Chemical equations are ashorthand way of describing both the composition and amounts of all reactantsand products. A common example of a chemical reaction occurs when hydrogengas and oxygen gas combine to form water. When this balloon, which is filledwith hydrogen gas, is ignited, it reacts with oxygen in the atmosphere to producewater vapor, heat, and light. In this case, hydrogen and oxygen are the reactantsand water is the product. We can make an equation that states, in words, what ishappening.hydrogen oxygen waterThis is known as a word equation. While a word equation is an accuratestatement, it has some drawbacks. First, it is not a universal statement; a Frenchchemist would not necessarily understand the meaning of these English words.Second, a word equation is a qualitative statement, but not a quantitative one.This means that the statement tells us in broad terms what is happening, but itdoes not tell us how much of each substance is involved. In the next scenes, youwill see what chemists have done to solve these problems.Scene 16The first problem with word equations is their lack of universality.Chemists have surmounted the language barrier by creating chemical symbolsfor each of the elements, such as H for hydrogen and O for oxygen. In addition,chemists have developed a system of nomenclature that allows each substanceto be represented by a formula. This can be a molecular formula or a formulaunit. For example, the word water might not make sense to a French chemist, butthe molecular formula, H2 O, would be instantly recognizable. The chemist wouldimmediately know that a water molecule consists of two atoms of hydrogen andone atom of oxygen. If you need more information on chemical formulas, consulta textbook.Page 12 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 17The other problemwith word equations is thatthey are not mathematicalstatements. From thestatement “hydrogen plusoxygen yields water,” there isno way of telling how manyatoms of hydrogen andoxygen are involved. The lawof conservation of matterstates that matter can beneither created nordestroyed. Atomic theorysays that atoms maintain their identities in a chemical reaction. Taken together,these statements mean that any equation for a reaction must balance, meaningthere must be as many atoms of each element on the products side as there areon the reactants side. Therefore, all of the atoms on both sides of the equationmust be accounted for. The next few scenes will show you techniques forbalancing equations and accounting for the atoms involved in chemical reactions.Scene18The first step in balancing a chemical equation is to replace the names ofthe compounds with their correct chemical formulas. Using the formulas formolecular hydrogen, molecular oxygen and water leads to the following equation:H2 O2 H2 OA quick look at this equation will show you that this is not a balanced equation.Do you see why not? While there are two atoms of hydrogen on both sides of theequation, there are two atoms of oxygen on the left side and only one atom onthe right side. This means that one atom of oxygen is unaccounted for. Sincematter is always conserved, this is an unacceptable situation. Fortunately,however, a method has been developed to reconcile this, and balance theequation.Scene 19Perhaps it has occurred to you that the equation can be balanced if thesubscript is removed from the oxygen molecule. This may be tempting, but it isnot an acceptable way to balance equations because changing the subscripts ofa substance changes the nature of the substance. For example, removing oneoxygen atom from the relatively nontoxic carbon dioxide molecule leads to thehighly toxic carbon monoxide molecule. In a way it would be analogous toreplacing a bicycle with a unicycle. Though a unicycle has half the number ofPage 13 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program Supplementwheels a bicycle has, that does not make it half a bicycle. Each has its ownunique character. Molecular oxygen consists of two atoms of oxygen, and mustbe treated that way in the equation.Scene 20Instead of changing the subscript, how about multiplying the amount ofproducts or reactants? This is an acceptable way to manipulate an equation,because only the amount of the substance changes, not its essential nature. Inthe example of water formation, two atoms of oxygen are needed on the right tobalance the two atoms of oxygen on the left. This increase in the number ofoxygen atoms can be achieved by doubling the number of water molecules. Awhole number that precedes a chemical formula and tells how many units of thesubstance are present is called a coefficient. Therefore the coefficient two isplaced in front of H2 O. When there are two molecules of water on the right, thismeans there are two atoms of oxygen on the right side because there is oneatom of oxygen in each water molecule. This gives the equation:H2 O2 2H2 OThis equation is currently balanced with respect to oxygen atoms, but not forhydrogen atoms. The next scene continues the process of balancing thisequation.Scene 21Take another look at the equation from the last scene. Does this representa balanced equation? There are two atoms of hydrogen in each water molecule,and there are two water molecules, so there are four hydrogen atoms on the rightside. Since there are only two atoms of hydrogen on the left side, the equation isnot yet balanced. Do you see a way to get four atoms of hydrogen on the leftside? If you said placing the coefficient two in front of the hydrogen moleculecould do it, you are correct. That gives the equation:2H2 O2 2H2OThis is a balanced equation. There are four hydrogen atoms and two oxygenatoms on each side of the equation.Scene 22In the last few scenes, you have learned techniques for balancingequations. The following rules summarize these techniques and add somerefinements and strategies. The first step in balancing equations is to write apreliminary, unbalanced equation using the correct chemical formulas. ThePage 14 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program Supplementsecond step is to adjust the coefficients of the reactants and products until theequation balances. A polyatomic ion, such as the sulfite ion or the nitrate ion,frequently goes through reactions unchanged, and can be treated as a unit whenbalancing equations. It is often easiest to begin balancing with elements orpolyatomic ions found in only one reactant and one product. If the number ofatoms of an element on the reactant side does not evenly divide the number ofatoms of that element on the product side, it is often possible to use a variation ofthe crisscross rule. In this case, use the subscript of the element in the productas a coefficient for the reactant, and vice versa, then finish balancing as younormally would. Learning to balance equations requires a certain amount of trialand error, and becomes easier with practice. The third step in balancingequations is to confirm the number of atoms of each element balances. Finally,make sure the coefficients are in their smallest whole number ratio. In theexample on the screen, the coefficients are not in their lowest whole numberratio, because they are all evenly divisible by two.Scene 23In addition to atomic symbols, subscripts, and coefficients, other symbolsare frequently added to chemical equations. These symbols are used to providemore information about the reaction. For example, the physical states of thereactants and products are often noted. Placing the first letter of the name of thestate, s for solid, l for liquid or g for gas, in parentheses after the chemicalformula denotes the physical state of the substance. If the compound is in asolution of water, an aq, for aqueous solution, is placed in parentheses. Here areexamples using the equations shown earlier. Arrows pointing in both directionsindicate that the reaction is reversible, that is, that it will proceed in bothdirections, from reactants to products and back to reactants. An upper caseGreek delta symbol above the arrow indicates that heat is being supplied to thereaction. An example is sodium bicarbonate being heated to form sodiumcarbonate, water, and carbon dioxide. If a chemical symbol appears above thearrow, it indicates that compound or element acts as a catalyst, which is asubstance that speeds up a reaction and is present in the same form before andafter the reaction.Page 15 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScenes 24-46Types of Chemical ReactionsV. Types of ReactionsA. Five types of Chemical ReactionsB. Combination Reactions1. Examples of Combination ReactionsC. Decomposition ReactionsD. Single-Replacement Reactions1. The Activity Seriesa. Using the Activity Series2. Single-Replacement Reactions of NonmetalsE. Double-Replacement Reactions1. Products of Double-Replacement Reactions2. Predicting Precipitate Formationa. Using the Solubility Chart3. Complete Ionic Equations4. Net Ionic Equations5. Example of Writing Molecular, Complete Ionic,and Ionic Equationsa. Molecular Equationb. Complete Ionic Equationc. Net Ionic EquationF. Combustion Reactions1. Combustion in Plentiful Oxygen2. Combustion in Scarce Oxygen3. Metabolism4. CorrosionVI. 4)(45)(46)Page 16 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementScene 24Millions of different chemical reactions are constantly going on all aroundyou. Does this mean that to understand chemistry you have to memorize millionsof reactions? Thankfully, the answer is “no.” By studying the way reactions occur,chemists have been able to classify many of them. In the remainder of thisprogram you will learn five common reaction types. Not every chemical reactionfits into one of these five patterns, and some of them fit in more than one.However, most of the reactions you encounter in your chemistry studies will fitinto one of the patterns. The five reaction types are: combination,decomposition, single-replacement, double-replacement, and combustion.Each type will be presented separately, starting with the combination reaction.Scene 25You have already seen that iron combines with oxygen to produce rust, oriron oxide. In a combination, or synthesis, reaction, two or more reactantscombine to produce one product. The general form of a combination reaction is:X Y XYThe reactants in a combination reaction can be either elements or compounds.Because the product of a combination reaction is always more complex than thereactants, it will always be a compound. Earlier in the program you saw acombination reaction in which both reactants were molecules. Recall thathydrogen and oxygencombine to form water. In1937 this reaction took placewith frightening force whenthe airship Hindenberg,which was filled withhydrogen gas, exploded overNew Jersey. The hydrogengas in the blimp reacted withatmospheric oxygen to formwater, and a great deal ofenergy. To avoid suchtragedies modern blimps arefilled with the nonreactivegas helium.Scene 26There are many common combination reactions. When a Group A metalcation reacts with a nonmetal the product is an ionic compound. An example isthe reaction that produces common table salt. Sodium metal reacts with chlorinegas, producing sodium chloride. Here are some more examples of nonmetalsPage 17 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program Supplementreacting with Group A metals. When transition metals, such as iron, combine withnonmetals, or when two nonmetals combine with each other, there is often morethan one possible product. For example, iron and oxygen can form iron(II) oxideor iron(III) oxide. Compounds of nonmetals a nd oxygen, nonmetal oxides, oftencombine with water to produce acids, which have a low pH. For example, carbondioxide combines with water to produce carbonic acid. This reaction occurs incarbonated beverages, such as soda pop. Metallic oxides combine with water toform bases, which have a high pH, as when calcium oxide combines with waterto yield calcium hydroxide. On the screen are some other examples of acid andbase formation through combination reactions.Scene 27A decomposition reaction is essentially the reverse of a combinationreaction. In a decomposition reaction, one reactant breaks down into two or moreproducts. The general form for a decomposition reaction is:XY X YElectricity can be used to break water molecules apart. Notice that the wordelectricity is placed above the arrow to indicate current drives the reaction. Thisreaction is the reverse of thecombination reaction studiedearlier. Liquid waterdecomposes into hydrogengas and oxygen gas.Ammonium dichromatedecomposes into nitrogengas, chromium(III) oxide, andwater when ignited. Ingeneral, a source of energymust be provided fordecomposition reactions tooccur because the reactantsare usually stable.Scene 28A third kind of chemical reaction is called a single -replacement reaction.These reactions are also known as single-displacement reactions. In a singlereplacement reaction, one element takes the place of another element in acompound. Single-replacement reactions have the general form:AX B BX APage 18 of 48

Cyber Ed Multimedia Courseware – Chemical Reactions Program SupplementWhen a piece of metallic potassium is placed in a dish of water, a violent reactionoccurs. Potassium displaces one of the hydrogen atoms in a water moleculeproducing hydrogen gas and aqueous potassium hydroxide. In this case,potassium takes the place of one of the hydrogen atoms in a water molecule. Aless dramatic single-replacement reaction takes place when a strip of zinc metalis placed in a solution of copper sulfate. The zinc replaces the copper ion in thesolution and forms zinc sulfate. The copper that is dis

The following scenes provide a brief review of chemical bonds and the nature of ions. There are two different types of bonds in various chemical compounds; covalent and ionic. Covalent bonds result from the sharing of electrons between atoms. The sharing of electrons in covalent bonds creates molecules. A molecule is a collection of covale ntly .

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