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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.
The Scientific Methodbegins with Questions about the World Around You.Ever Wonder Why?... Superman sticks out his chest to block bullets but he ducks when the gun is thrown at him?
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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