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Table 1. The table below displays numerous values and equations utilized when observing chemical kinetics for numerous reactions types









Zero-




First-Order

Second-Order










Order











































475










Rate Law




Rate= k

Rate= k[A]

Rate= k[A]2

























Integrated Rate Law

[A]t=

ln[A]t=

1[A]t=−kt+1[A]0







−kt+[A]0

−kt+ln[A]0


































Units of Rate

Constant

molL−1s−1

s−1

Lmol−1s−1

(k):





































Linear Plot to Determine

[A] versus

ln[A] versus




(k):




time

time

versus time































Relationship

of Rate

slope= −k

slope= −k

slope= k

Constant to the Slope of










Straight Line:











































Half-life:





























Sample Problems




  1. Define Reaction Rate

  2. TRUE or FALSE: Changes in the temperature or the introduction of a catalyst will affect the rate constant of a reaction

For sample problems 3-6, use Formula 6 to answer the questions H2O⟶2H2+O2(6)(6)H2O⟶2H2+O2


*Assume the reaction occurs at constant temperature


  1. For the given reaction above, state the rate law.

  2. State the overall order of the reaction.

  3. Find the rate, given k = 1.14 x 10-2 and [H2O] = 2.04M




  1. Find the half-life of the reaction.

Answers

  1. Reaction Rate is the measure of the change in concentration of the disappearance of reactants or the change in concentration of the appearance of products per unit time.




  1. FALSE. The rate constant is not dependant on the presence of a catalyst. Catalysts, however, can effect the total rate of a reaction.




  1. Rate= k[H2O] Rate= k[H2O]




  1. First - Order

  2. 2.33 x 10-2 s-1




  1. 29.7 s

3.3. A chemical equation is the symbolic representation of a chemical reaction

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in the form of symbols and formulae, wherein the reactant entities are given on the left-hand side and the product entities on the right-hand side.[1] The coefficients next to the symbols and formulae of entities are the absolute values of the stoichiometric numbers. The first chemical equation was diagrammed by Jean Beguin in 1615.[2]
A chemical equation consists of the chemical formulas of the reactants (the starting substances) and the chemical formula of the products (substances formed in
the chemical reaction). The two are separated by an arrow symbol ( , usually read as "yields") and each individual substance's chemical formula is separated from others by a plus sign.
As an example, the equation for the reaction of hydrochloric acid with sodium can be denoted:
2 HCl +2 Na →2 NaCl + H 2
This equation would be read as "two HCl plus two Na yields two NaCl and H two." But, for equations involving complex chemicals, rather than reading the letter and its subscript, the chemical formulas are read using IUPAC nomenclature. Using IUPAC nomenclature, this equation would be read as "hydrochloric acid plus sodium yields sodium chloride andhydrogen gas."
This equation indicates that sodium and HCl react to form NaCl and H2. It also indicates that two sodium molecules are required for every two hydrochloric acid molecules and the reaction will form two sodium chloride molecules and one diatomic molecule of hydrogen gas molecule for every two hydrochloric acid and two sodium molecules that react. Thestoichiometric coefficients (the numbers in front of the chemical formulas) result from the law of conservation of mass and the law of conservation of charge
Chemical reactions happen all around us: when we light aMATCH, start a car, eat dinner, or walk the dog. A chemical reaction is the process by which substances bond together (or break bonds) and, in doing so, either release or consume energy (see our Chemical Reactions module) . A chemical equation is shorthand that scientists use to describe a chemical reaction. Let's take the reaction of hydrogen with oxygen to form water as an example. If we had a container of hydrogen gas and burned this in the presence of oxygen, the two gases would react together, releasing energy, to form water. To write the chemical equation for this reaction, we would place the substances reacting (the reactants) on the left side of an equation with an arrow pointing to the substances being formed on the right side of the equation (the products). Given this information, one might guess that the equation for this reaction is written:
H + OH2O
The plus sign on the left side of the equation means that hydrogen (H) and oxygen (O) are reacting. Unfortunately, there are two problems with this chemical equation. First, because atoms like to have full valence shells, single H or O atoms are rare. In nature, both hydrogen and oxygen are found asdiatomic molecules, H2 and O2, respectively (in forming diatomic molecules the atoms shareelectrons and complete their valence shells). Hydrogen gas, therefore, consists of H2 molecules;

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oxygen gas consists of O2. Correcting our equation we get:
H2 + O2H2O
But we still have one problem. As written, this equation tells us that one hydrogen molecule (with two H atoms) reacts with one oxygen molecule (two O atoms) to form one water molecule (with two Hatoms and one O atom). In other words, we seem to have lost one O atom along the way! To write a chemical equation correctly, the number of atoms on the left side of a chemical equation has to be precisely balanced with the atoms on the right side of the equation. How does this happen? In actuality, the O atom that we "lost" reacts with a second molecule of hydrogen to form a second molecule of water. During the reaction, the H-H and O-O bonds break and H-O bonds form in the water molecules, as seen in the simulation below.




Interactive Animation:The formation of water
The balanced equation is therefore written:
2H2 + O2 → 2H2O
In writing chemical equations, the number in front of the molecule's symbol (called a coefficient) indicates the number of molecules participating in the reaction. If no coefficient appears in front of a molecule, we interpret this as meaning one.
In order to write a correct chemical equation, we must balance all of the atoms on the left side of thereaction with the atoms on the right side. Let's look at another example. If you use a gas stove to cook your dinner, chances are that your stove burns natural gas, which is primarily methane. Methane (CH4) is a molecule that contains four hydrogen atoms bonded to one carbon atom. When you lightthe stove, you are supplying the activation energy to start the reaction of methane with oxygen in the air. During this reaction, chemical bonds break and re-form and the products that are produced are carbon dioxide and water vapor (and, of course, light and heat that you see as the flame). The unbalanced chemical equation would be written:
CH4 (methane) + O2 (oxygen) → CO2 (carbon dioxide) + H2O (water)
Look at the reaction atom by atom. On the left side of the equation we find one carbon atom, and one on the right.































C

H4

+

O2



C

O2

+

H2

O

































478




























1












1







carbon













carbon





Next we move to hydrogen: There are four hydrogen atoms on the left side of the equation, but only two on the right.





































C 4

+

2

→C O2

+

H2

O









4










































2










hydro



















hydro










gen



















gen






Therefore, we must balance the H atoms by adding the coefficient "2" in front of the water molecule(you can only change coefficients in a chemical equation, not subscripts). Adding this coefficient we get:

























+2H2







CH4

+

O2→C O2

O










4















4 hydrogen






























hydro




























gen





















What this equation now says is that two molecules of water are produced for every one molecule of methane consumed. Moving on to the oxygen atoms, we find two on the left side of the equation, but a total of four on the right side (two from the CO2 molecule and one from each of two water molecules H2O).






































CH4

+

O2→C O2

+2H2

O










2


















4

































oxygen



















oxygen



To balance the chemical equation we must add the coefficient "2" in front of the oxygen molecule on the left side of the equation, showing that two oxygen molecules are consumed for every one methane molecule that burns.




C H4






















+

2O2 →C O2

+2H2

O






4












4 oxygen



















oxygen


















Dalton's law of definite proportions holds true for all chemical reactions (see our Early Ideas about Matter: From Democritus to Dalton module). In essence, this law states that a chemical reactionalways proceeds according to the ratio defined by the balanced chemical equation. Thus, you can interpret the balanced methane equation above as reading, "one part methane reacts with two parts oxygen to produce one part carbon dioxide and two parts water." This ratio always remains the


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same. For example, if we start with two parts methane, then we will consume four parts O2 and generate two parts CO2 and four parts H2O. If we start with excess of any of the reactants (e.g., five parts oxygen when only one part methane is available), the excess reactant will not be consumed:








H4




5O2







O2
















3O2







C

+



C

+

2H2

+

0

+




















































Excessreactantswill not be consumed.
In the example seen above, 3O2 had to be added to the right side of the equation to balance it and show that the excess oxygen is not consumed during the reaction. In this example, methane is called the limiting reactant.

Although we have discussed balancing equations in terms of numbers of atoms and molecules, keep in mind that we never talk about a single atom (or molecule) when we use chemical equations. This is because single atoms (and molecules) are so tiny that they are difficult to isolate. Chemical equations are discussed in relation to the number of moles of reactants and products used or produced (see our The Mole module). Because the mole refers to a standard number of atoms (or molecules), the term can simply be substituted into chemical equations. Thus, the balanced methane equation above can also be interpreted as reading, "one mole of methane reacts with two moles of oxygen to produce one mole of carbon dioxide and two moles of water."



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