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Balancing Really Hard Chemical Reactions. TAMOBE Toburen’s Algebraic Method of Balancing Equations. Reactants: Zn + I 2. Product: Zn I 2. Balancing Really Hard Equations: At the conclusion of our time together, you should be able to:. Use TAMOBE to solve even the most difficult equations.
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TAMOBEToburen’s Algebraic Method of Balancing Equations Reactants: Zn + I2 Product: Zn I2
Balancing Really Hard Equations:At the conclusion of our time together, you should be able to: Use TAMOBE to solve even the most difficult equations.
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Steps to TAMOBE • Use this method for very difficult equations to balance. • Place a different letter coefficient in front of each formula on both sides of the equation. Use letters that are not commonly used in Chemistry.
Example A • HCl + KMnO4 H2O + KCl + MnCl2 + Cl2 • X HCl + Y KMnO4 Z H2O + W KCl + Q MnCl2 + R Cl2 • Complexity H, K, Mn, O, Cl
X HCl + Y KMnO4 Z H2O + W KCl + Q MnCl2 + R Cl2Eliminate H: • X = 2Z • 2Z HCl + Y KMnO4 • Z H2O + W KCl + Q MnCl2 + R Cl2 • Eliminate K: • Y = W • 2Z HCl + W KMnO4 • Z H2O + W KCl + Q MnCl2 + R Cl2
2Z HCl + W KMnO4 • Z H2O + W KCl + Q MnCl2 + R Cl2 • Eliminate Mn: • W = Q • 2Z HCl + Q KMnO4 • Z H2O + Q KCl + Q MnCl2 + R Cl2
2Z HCl + Q KMnO4 • Z H2O + Q KCl + Q MnCl2 + R Cl2 Eliminate O: 4Q = Z • 8Q HCl + Q KMnO4 • 4Q H2O + Q KCl + Q MnCl2 + R Cl2
8Q HCl + Q KMnO4 • 4Q H2O + Q KCl + Q MnCl2 + R Cl2Eliminate Cl: • 8Q = Q + 2Q + 2R • 5Q = 2R • 5/2Q = R • 8Q HCl + Q KMnO4 • 4Q H2O + Q KCl + Q MnCl2 + 5/2Q Cl2
8Q HCl + Q KMnO4 • 4Q H2O + Q KCl + Q MnCl2 + 5/2Q Cl2 Double Everything • 16Q HCl + 2Q KMnO4 • 8Q H2O + 2Q KCl + 2Q MnCl2 + 5Q Cl2 Divide Everything by Q • 16 HCl + 2 KMnO4 • 8 H2O + 2 KCl + 2 MnCl2 + 5 Cl2
Example of TAMOBE B • C3H7S + O2 • CO2 + H2O + SO2 • X C3H7S + Y O2 • Z CO2 + Q H2O + R SO2
Example of TAMOBE B • X C3H7S + Y O2 • Z CO2 + Q H2O + R SO2 • Complexity S, C, H, O
X C3H7S + Y O2 • Z CO2 + Q H2O + R SO2 • Complexity S, C, H, O • Eliminate S: • X = R • R C3H7S + Y O2 • Z CO2 + Q H2O + R SO2
R C3H7S + Y O2 • Z CO2 + Q H2O + R SO2 • Eliminate C: 3R = Z • R C3H7S + Y O2 • 3R CO2 + Q H2O + R SO2
R C3H7S + Y O2 • 3R CO2 + Q H2O + R SO2 • Eliminate H: • 7R = 2Q; • 7/2R = Q • R C3H7S + Y O2 • 3R CO2 + 7/2R H2O + R SO2
R C3H7S + Y O2 • 3R CO2 + 7/2R H2O + R SO2 Eliminate O: 2Y = 6R + 7/2 R + 2R = 23/2 R • Y = 23/4R • R C3H7S + 23/4R O2 • 3R CO2 + 7/2R H2O + R SO2
R C3H7S + 23/4R O2 • 3R CO2 + 7/2R H2O + R SO2 • Multiply Everything by 4 • 4R C3H7S + 23R O2 • 12R CO2 + 14R H2O + 4R SO2
4R C3H7S + 23R O2 • 12R CO2 + 14R H2O + 4R SO2 Divide by R • 4 C3H7S + 23 O2 • 12 CO2 + 14 H2O + 4 SO2
Balancing Really Hard Equations:Let’s see if you can: Use TAMOBE to solve even the most difficult equations.
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Try TAMOBE Again • As2S3 + HNO3 + H2O • H3AsO4 + H2SO4 + NO • X As2S3 + Y HNO3 + Z H2O • Q H3AsO4 + R H2SO4 + W NO • Complexity N, As, S, H, O
Eliminate N: Y = W • X As2S3 + W HNO3 + Z H2O • Q H3AsO4 + R H2SO4 + W NO • Eliminate As: 2X = Q • X As2S3 + W HNO3 + Z H2O • 2X H3AsO4 + R H2SO4 + W NO • Eliminate S: 3X = R • X As2S3 + W HNO3 + Z H2O • 2X H3AsO4 + 3X H2SO4 + W NO
X As2S3 + W HNO3 + Z H2O • 2X H3AsO4 + 3X H2SO4 + W NO • Eliminate H: W + 2Z = 6X + 6X = 12X • X As2S3 + (12X-2Z) HNO3 + Z H2O • 2X H3AsO4 + 3X H2SO4 + (12X-2Z) NO • Eliminate O: 36X-6Z + Z = 8X + 12X + 12X-2Z • 36X-5Z = 32X-2Z 4/3X = Z • X As2S3 + (12X-8/3X) HNO3 + 4/3X H2O • 2X H3AsO4 + 3X H2SO4 + (12X-8/3X) NO
X As2S3 + (12X-8/3X) HNO3 + 4/3X H2O • 2X H3AsO4 + 3X H2SO4 + (12X-8/3X) NO Multiply Everything by 3 • 3X As2S3 + (36X-8X) HNO3 + 4X H2O • 6X H3AsO4 + 9X H2SO4 + (36X-8X) NO Combine Like Terms: • 3X As2S3 + 28X HNO3 + 4X H2O • 6X H3AsO4 + 9X H2SO4 + 28X NO Divide by X • 3 As2S3 + 28 HNO3 + 4 H2O • 6 H3AsO4 + 9 H2SO4 + 28 NO
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