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3.7 Chem. Eqs&

3.8 Balancing Chem. Eqs

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Chemical Equations

A chemical equation gives the chemical formulas of the reactants on the left of the arrow and the products on the right.

Reactants Product

C(s)

O2 (g)CO2 (g)

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Symbols Used in Equations

Symbols used in chemicalequations show

• the states of the reactants.

• the states of the products.

• the reaction conditions.

TABLE

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Chemical Equations are Balanced

In a balancedchemical reaction• atoms are not

gained or lost.

• the number of reactant atoms is equal to the number of product atoms.

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A Balanced Chemical Equation

In a balanced chemical equation,• there must be the same number of each type of atom on

the reactant side and on the product side of a balanced equation.

• numbers called coefficients are used in front of one or more formulas.

Al + S Al2S3 Not Balanced2Al + 3S Al2S3 Balanced

2 Al = 2 Al3 S = 3 S

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Learning Check

State the number of atoms of each element on thereactant side and the product side for each of thefollowing balanced equations.

A. P4(s) + 6Br2(l) 4 PBr3(g)

B. 2Al(s) + Fe2O3(s) 2Fe(s) + Al2O3(s)

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Solution

A. P4(s) + 6Br2(l) 4 PBr3(g)4 P 4 P12 Br 12 Br

B. 2Al(s) + Fe2O3(s) 2Fe(s) + Al2O3(s)2 Al 2 Al2 Fe 2 Fe3 O 3 O

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Learning Check

Determine if each equation is balanced or not.

A. Na(s) + N2(g) Na3N(s)

B. C2H4(g) + H2O(l) C2H5OH(l)

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Solution

Determine if each equation is balanced or not.

A. Na(s) + N2(g) Na3N(s)No. 2 N on reactant side, 1 N on product side.

1 Na on reactant side, 3 Na on product side.

B. C2H4(g) + H2O(l) C2H5OH(l)Yes. 2 C = 2 C

6 H = 6 H1 O = 1 O

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Guide to Balancing a Chemical Equation

Copyright © 2005 by Pearson Education, Inc.Publishing as Benjamin Cummings

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To balance the following equation, Fe3O4(s) + H2(g) Fe(s) + H2O(l)

• work on one element at a time.• use only coefficients in front of formulas.• do not change any subscripts.Fe: Fe3O4(s) + H2(g) 3Fe(s) + H2O(l)

O: Fe3O4(s) + H2(g) 3Fe(s) + 4H2O(l)

H: Fe3O4(s) + 4H2(g) 3Fe(s) + 4H2O(l)

Steps in Balancing an Equation

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1. Write the equation with the correct formulas.NH3(g) + O2(g) NO(g) + H2O(g)

2. Determine if the equation is balanced.No, not all atoms are balanced.

3. Balance with coefficients in front of formulas. 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g)

4. Check that atoms of each element are equal in reactants and products.

4 N (4 x 1 N) = 4 N (4 x 1 N)12 H (4 x 3 H) = 12 H (6 x 2 H)10 O (5 x 2 O) = 10 O (4 O + 6 O)

Balancing Chemical Equations

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Equation for A Chemical Reaction

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Checking a Balanced Equation

Reactants Products1 C atom = 1 C atom4 H atoms = 4 H atoms4 O atoms = 4 O atoms

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Check the balance of atoms in the following.

Fe3O4(s) + 4H2(g) 3Fe(s) + 4H2O(l)

A. Number of H atoms in products.

1) 2 2) 4 3) 8

B. Number of O atoms in reactants.

1) 2 2) 4 3) 8

C. Number of Fe atoms in reactants.

1) 1 2) 3 3) 4

Learning Check

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Fe3O4(s) + 4H2(g) 3Fe(s) + 4H2O(l)

A. Number of H atoms in products.3) 8 (4H2O)

B. Number of O atoms in reactants.2) 4 (Fe3O4)

C. Number of Fe atoms in reactants.2) 3 (Fe3O4)

Solution

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Balance each equation and list the coefficients in the balanced equation going from reactants to products:

A. __Mg(s) + __N2(g) __Mg3N2(s)

1) 1, 3, 2 2) 3, 1, 2 3) 3, 1, 1

B. __Al(s) + __Cl2(g) __AlCl3(s)

1) 3, 3, 2 2) 1, 3, 1 3) 2, 3, 2

Learning Check

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A. 3) 3, 1, 13Mg(s) + 1N2(g) 1Mg3N2(s)

B. 3) 2, 3, 2

2Al(s) + 3Cl2(g) 2AlCl3(s)

Solution

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Equations with Polyatomic Ions

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Balancing with Polyatomic IonsMgCl2(aq) + Na3PO4(aq) NaCl(aq) + Mg3(PO4)2(s)

Balance PO43- as a unit

MgCl2(aq) + 2Na3PO4(aq) NaCl(aq) + Mg3(PO4)2(s)2 PO4

3- = 2 PO43-

Balance Mg and Cl3MgCl2(aq) + 2Na3PO4(aq) 6NaCl(aq) + Mg3(PO4)2(s)

3 Mg2+ = 3 Mg2+

6 Na+ = 6 Na+

6 Cl- = 6 Cl-

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Balance and list the coefficients from reactants to products.

A. __Fe2O3(s) + __C(s) __Fe(s) + __CO2(g)

1) 2, 3, 2, 3 2) 2, 3, 4, 3 3) 1, 1, 2, 3

B. __Al(s) + __FeO(s) __Fe(s) + __Al2O3(s)

1) 2, 3, 3, 1 2) 2, 1, 1, 1 3) 3, 3, 3, 1

C. __Al(s) + __H2SO4(aq) __Al2(SO4)3(aq) + __H2(g)

1) 3, 2, 1, 2 2) 2, 3, 1, 3 3) 2, 3, 2, 3

Learning Check

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A. 2) 2, 3, 4, 3 2Fe2O3(s) + 3C(s) 4Fe(s) + 3CO2(g)

B. 1) 2, 3, 3, 1 2Al(s) + 3FeO(s) 3Fe(s) + 1Al2O3(s)

C. 2) 2, 3, 1, 3 2Al(s) + 3H2SO4(aq) 1Al2(SO4)3(aq) + 3H2(g)

Solution

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