Fill in the gaps to balance the equation.
Use the smallest set of whole numbers to balance the equation and include coefficients of "1" when appropriate.
[tex]\square K_2 SiO_3+\square CoF_2 \rightarrow \square KF+\square CoSiO_3[/tex]
Complete the table to determine how many atoms of each element are present in the reactants and products.
| Element | Reactant | Products |
| :------ | :------- | :------- |
| K | | |
| Si | | |
| O | | |
| CO | | |
| F | | |
Answer (2)
Balance the number of potassium (K) atoms by placing a coefficient of 2 in front of KF: K 2 S i O 3 + C o F 2 → 2 K F + C o S i O 3 .
Verify that all other elements (F, Co, Si, O) are already balanced.
Complete the table with the number of atoms of each element on both sides of the balanced equation.
The balanced equation is: K 2 S i O 3 + C o F 2 → 2 K F + C o S i O 3 .
Explanation
Problem Analysis We are asked to balance the chemical equation K 2 S i O 3 + C o F 2 → K F + C o S i O 3 and complete the table showing the number of atoms of each element on both sides of the equation.
Balancing Potassium (K) To balance the equation, we need to ensure that the number of atoms of each element is the same on both the reactant and product sides. We will start by balancing potassium (K).
Equation after Balancing K There are 2 K atoms on the reactant side ( K 2 S i O 3 ). To have 2 K atoms on the product side, we place a coefficient of 2 in front of KF: K 2 S i O 3 + C o F 2 → 2 K F + C o S i O 3
Checking Other Elements Now, let's check the other elements.
Verification
Fluorine (F): There are 2 F atoms on the reactant side ( C o F 2 ) and 2 F atoms on the product side (2KF). Fluorine is balanced.
Cobalt (Co): There is 1 Co atom on the reactant side ( C o F 2 ) and 1 Co atom on the product side ( C o S i O 3 ). Cobalt is balanced.
Silicon (Si): There is 1 Si atom on the reactant side ( K 2 S i O 3 ) and 1 Si atom on the product side ( C o S i O 3 ). Silicon is balanced.
Oxygen (O): There are 3 O atoms on the reactant side ( K 2 S i O 3 ) and 3 O atoms on the product side ( C o S i O 3 ). Oxygen is balanced.
Balanced Equation The balanced equation is: K 2 S i O 3 + C o F 2 → 2 K F + C o S i O 3
Completing the Table Now, we complete the table with the number of atoms of each element on both sides of the balanced equation.
Completed Table
Element
Reactant
Products
K
2
2
Si
1
1
O
3
3
Co
1
1
F
2
2
Final Answer The balanced equation is 1 K 2 S i O 3 + 1 C o F 2 → 2 K F + 1 C o S i O 3 .
Examples
Balancing chemical equations is essential in various fields, such as environmental science, to understand and manage pollution. For instance, when dealing with industrial waste, knowing the exact chemical reactions and their balanced equations helps in designing effective treatment processes to neutralize harmful substances. This ensures that the waste is converted into less toxic forms before being released into the environment, minimizing ecological damage. Similarly, in developing new materials, balanced equations are crucial for predicting the outcomes of chemical reactions and optimizing the synthesis process.
The balanced equation is K 2 S i O 3 + C o F 2 → 2 K F + C o S i O 3 . The table shows 2 K, 1 Si, 3 O, 1 Co, and 2 F in both reactants and products. This confirms that the equation is balanced.
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