To balance the chemical equation:
Given Reaction: \[ \text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + \text{Fe} \]
Balancing Steps:
- Write down the number of atoms of each element on both sides of the equation.
On the left side:
- Fe: 1
- O: 2
- H: 2
- Mn: 1
On the right side:
- Fe: 1
- O: 4
- H: 4
- Mn: 1
- Balance the oxygen (O) atoms:
- We have 2 O on the left and 4 O on the right. To balance this, we can put a coefficient of 2 in front of Fe(OH)₂ on the left: \[ 2\text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + \text{Fe} \]
Now we have:
- Fe: 2 (left)
- O: 4 (left)
- H: 4 (left)
- Mn: 1 (left)
On the right side:
- Fe: 1 (not balanced)
- O: 4 (right)
- H: 4 (right)
- Mn: 1 (right)
- Balance the Iron (Fe):
- We need to balance the Fe atoms. To do this, we can place a coefficient of 2 in front of Fe on the right side: \[ 2\text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + 2\text{Fe} \]
Now we have:
- Fe: 2 (both sides)
- O: 4 (both sides)
- H: 4 (both sides)
- Mn: 1 (both sides)
- Final Balanced Equation: \[ 2\text{Fe(OH)}_2 + \text{Mn} \rightarrow \text{Mn(OH)}_4 + 2\text{Fe} \]
Coefficients:
- For Fe(OH)₂: 2
- For Mn: 1
- For Mn(OH)₄: 1
- For Fe: 2
So, the final balanced equation is: \[ 2\text{Fe(OH)}_2 + 1\text{Mn} \rightarrow 1\text{Mn(OH)}_4 + 2\text{Fe} \]