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**13.3b Balancing equations using oxidation numbers**

C3H8O + CrO3 + H2SO4 Cr2(SO4)3 + C3H6O + H2O 13.3b Balancing equations using oxidation numbers

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**Balancing chemical equations**

Balancing equations relied on having equal numbers of atoms on each side of the equation We can balance equations using oxidation #s. This relies on the idea that the number of electrons lost by an element must be equal to the number gained by a different element. In other words the total gain in oxidation numbers must be equal to the total lost.

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**Using Oxidation Numbers**

total oxidation # CuCl Al Cu AlCl3 +2 -2 +3 -3 +2 -1 +3 -1 Notice: Cu has gained 2e– (oxidation # by 2) Notice: Al has lost 3e– (oxidation # by 3) But, number of e– gained must equal e– lost Multiply Cu by 3, Al by 2: change is 6 for both change total oxidation # 3CuCl2 + 2Al 3Cu + 2AlCl3 +6 -6 +6 +6 -1 -2 +2 +3 -3

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**Steps to balancing with ox #’s**

Write the skeleton equation Assign oxidation numbers to all atoms Identify which atoms change oxidation number Make the number of atoms that change oxidation number the same on both sides by inserting temporary coefficients Calculate the total change in oxidation number Make the total increase in oxidation number equal the total decrease by multiplication using appropriate factors Balance the remainder by inspection. Do not change what has been balanced. Compounds with elements that have changed in one case but not in another are considered twice.

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**Example 1 Balance the following equation: change total ox. #**

H2SO4 + Al Al2(SO4)3 + SO2+ H2O -2 x 3 = -6 +6 +6 +6 +4 +2 +6 -8 +6 +18 -24 +4 -4 +2 -2 +1 +6 -2 +3 +6 -2 +4 -2 +1 -2 H2SO4+ 3 3 2 3 6 Step 3: Identify which atoms change ox. # S (+6 to +4) and Al (0 to +3) Step 6: Make the total increase in oxidation number equal the total decrease by multiplication using appropriate factors Step 2: Assign oxidation numbers Step 4: Make the number of atoms that change oxidation number the same on both sides by inserting temporary coefficients Step 7: Balance the remainder by inspection. Note: only compounds that have not already been balanced need to be balanced here. Step 5: Compute the total change in oxidation number Step 1: Write equation: already done for us

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Example 2 Zn + HNO3 Zn(NO3)2 + NH4NO3 + H2O

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**Step 2: Assign oxidation numbers **

Balance the following equation: Zn+HNO3+ HNO3 Zn(NO3)2 + NH4NO3+ H2O +2 x 4 = +8 -8 +5 +2 -3 +1 +5 -6 +1 +5 -6 +2 +10 -12 -3 +4 +5 -6 +2 -2 +1 +5 -2 +1 +5 -2 +2 +5 -2 -3 +1 +5 -2 +1 -2 4 9 4 3 Step 2: Assign oxidation numbers Step 6: Make the total increase in oxidation number equal the total decrease by multiplication using appropriate factors Step 5: Compute the total change in oxidation number Step 4: Make the number of atoms that change oxidation number the same on both sides by inserting temporary coefficients Step 1: Write equation: already done for us Step 3: Identify which atoms change ox. # Zn (0 to +2) and N (+5 to -3) Step 7: Balance the remainder by inspection. Note: only compounds that have not already been balanced need to be balanced here.

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**Example 3 Balance the following equation: -5 x 2 = -10 +2 x 5 = +10 +7**

+4 +2 +6 1 7 -8 2 6 -8 2 6 -8 2 6 -8 2 6 -8 6 18 -24 2 -2 1 7 -2 2 6 -2 1 6 -2 1 6 -2 2 6 -2 3 6 -2 1 -2 2 KMnO4+ FeSO4+ H2SO4 K2SO4+ MnSO4+ Fe2(SO4)3+ H2O 2 8 2 5 8 10 Step 4: Make the number of atoms that change oxidation number the same on both sides by inserting temporary coefficients Step 3: Identify which atoms change ox. # Mn (+7 to +2) and Fe (+2 to +3) Step 7: Balance the remainder by inspection. Note: only compounds that have not already been balanced need to be balanced here. Step 2: Assign oxidation numbers Step 6: Make the total increase in oxidation number equal the total decrease by multiplication using appropriate factors Step 1: Write equation: already done for us Step 5: Compute the total change in oxidation number

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Homework LSM 13.3E

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