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Answer :
- Analyze the unbalanced equation and count the number of atoms for each element on both sides.
- Adjust the coefficients to ensure the number of atoms for each element is the same on both sides.
- The balanced equation is $2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4$.
- Final Answer: $\boxed{2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4}$
### Explanation
1. Analyzing the Unbalanced Equation
We are given the unbalanced chemical equation:
$$AgMnO_4 + Sr \rightarrow Ag + SrMnO_4$$
The goal is to find the correct coefficients to balance the equation, ensuring that the number of atoms for each element is the same on both sides of the equation.
2. Initial Atom Count
Let's analyze the number of atoms for each element on both sides of the equation:
- Silver (Ag): 1 on the left, 1 on the right
- Manganese (Mn): 1 on the left, 1 on the right
- Oxygen (O): 4 on the left, 4 on the right
- Strontium (Sr): 1 on the left, 1 on the right
3. Considering a Multiple
At first glance, the equation appears to be balanced. However, let's consider a scenario where we multiply the $AgMnO_4$ by 2:
$$2AgMnO_4 + Sr \rightarrow Ag + SrMnO_4$$
Now the atom counts are:
- Silver (Ag): 2 on the left, 1 on the right
- Manganese (Mn): 2 on the left, 1 on the right
- Oxygen (O): 8 on the left, 4 on the right
- Strontium (Sr): 1 on the left, 1 on the right
4. Balancing the Equation
To balance the equation, we need to adjust the coefficients so that the number of atoms for each element is the same on both sides. The balanced equation is:
$$2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4$$
Now the atom counts are:
- Silver (Ag): 2 on the left, 2 on the right
- Manganese (Mn): 2 on the left, 2 on the right
- Oxygen (O): 8 on the left, 8 on the right
- Strontium (Sr): 1 on the left, 1 on the right
5. Final Balanced Equation
Therefore, the balanced equation is:
$$\boxed{2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4}$$
### Examples
Balancing chemical equations is crucial in various real-world applications, such as in the pharmaceutical industry when synthesizing new drugs. Ensuring the correct stoichiometry is vital for efficient and safe production. Similarly, in environmental science, balancing equations helps in understanding and mitigating pollution, such as in the design of catalytic converters for cars to reduce harmful emissions.
- Adjust the coefficients to ensure the number of atoms for each element is the same on both sides.
- The balanced equation is $2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4$.
- Final Answer: $\boxed{2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4}$
### Explanation
1. Analyzing the Unbalanced Equation
We are given the unbalanced chemical equation:
$$AgMnO_4 + Sr \rightarrow Ag + SrMnO_4$$
The goal is to find the correct coefficients to balance the equation, ensuring that the number of atoms for each element is the same on both sides of the equation.
2. Initial Atom Count
Let's analyze the number of atoms for each element on both sides of the equation:
- Silver (Ag): 1 on the left, 1 on the right
- Manganese (Mn): 1 on the left, 1 on the right
- Oxygen (O): 4 on the left, 4 on the right
- Strontium (Sr): 1 on the left, 1 on the right
3. Considering a Multiple
At first glance, the equation appears to be balanced. However, let's consider a scenario where we multiply the $AgMnO_4$ by 2:
$$2AgMnO_4 + Sr \rightarrow Ag + SrMnO_4$$
Now the atom counts are:
- Silver (Ag): 2 on the left, 1 on the right
- Manganese (Mn): 2 on the left, 1 on the right
- Oxygen (O): 8 on the left, 4 on the right
- Strontium (Sr): 1 on the left, 1 on the right
4. Balancing the Equation
To balance the equation, we need to adjust the coefficients so that the number of atoms for each element is the same on both sides. The balanced equation is:
$$2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4$$
Now the atom counts are:
- Silver (Ag): 2 on the left, 2 on the right
- Manganese (Mn): 2 on the left, 2 on the right
- Oxygen (O): 8 on the left, 8 on the right
- Strontium (Sr): 1 on the left, 1 on the right
5. Final Balanced Equation
Therefore, the balanced equation is:
$$\boxed{2AgMnO_4 + Sr \rightarrow 2Ag + SrMnO_4}$$
### Examples
Balancing chemical equations is crucial in various real-world applications, such as in the pharmaceutical industry when synthesizing new drugs. Ensuring the correct stoichiometry is vital for efficient and safe production. Similarly, in environmental science, balancing equations helps in understanding and mitigating pollution, such as in the design of catalytic converters for cars to reduce harmful emissions.
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