To balance the equation given:
Unbalanced equation: \[ \text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + \text{Fe} \]
Let's break down the process of balancing the equation:
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Count the number of each type of atom on both sides:
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Reactants:
- Fe: 1
- O: 2 (from 2 OH groups)
- H: 2 (from 2 OH groups)
- Mn: 1
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Products:
- Fe: 1
- O: 4 (from 4 OH groups)
- H: 4 (from 4 OH groups)
- Mn: 1
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Balance the hydroxide ions (OH) first. Notice that there are 2 OH groups on the left and 4 OH groups on the right. To balance the OH groups, we can add a coefficient of 2 in front of Fe(OH)2 on the left side.
Now the equation looks like: \[ 2 \text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + 2 \text{Fe} \]
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Count the number of each type of atom again:
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Reactants:
- Fe: 2
- O: 4 (from 2 × 2 OH)
- H: 4 (from 2 × 2 OH)
- Mn: 1
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Products:
- Fe: 2
- O: 4 (from 4 OH groups)
- H: 4 (from 4 OH groups)
- Mn: 1
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Now both sides are balanced.
Final balanced equation: \[ 2 \text{Fe(OH)}_2 + 1 \text{Mn} \rightarrow 1 \text{Mn(OH)}_4 + 2 \text{Fe} \]
In the drop-downs:
- Fe(OH)2: 2
- Mn: 1
- Mn(OH)4: 1
- Fe: 2
So, the balanced equation has:
- Coefficient for Fe(OH)2: 2
- Coefficient for Mn: 1
- Coefficient for Mn(OH)4: 1
- Coefficient for Fe: 2