Questions: Identify the coefficients needed to balance this equation. K(s) + Co^2+(aq) -> K^+(aq) + Co(s) 1,1,2,1 1,3,1,3 1,2,1,2 2,1,2,1

Transcript text: Identify the coefficients needed to balance this equation. \[ \mathrm{K}(s)+\mathrm{Co}^{2+}(a q) \rightarrow \mathrm{K}^{+}(a q)+\mathrm{Co}(s) \] $1,1,2,1$ $1,3,1,3$ $1,2,1,2$ $2,1,2,1$

Solution

Solution Steps

Step 1: Write the Unbalanced Equation

The given unbalanced chemical equation is: \[ \mathrm{K}(s) + \mathrm{Co}^{2+}(aq) \rightarrow \mathrm{K}^{+}(aq) + \mathrm{Co}(s) \]

Step 2: Identify the Atoms to Balance

We need to balance the number of potassium (K) and cobalt (Co) atoms on both sides of the equation.

Step 3: Balance Potassium (K) Atoms

There is 1 potassium atom on the left side and 1 potassium ion on the right side. Therefore, potassium is already balanced.

Step 4: Balance Cobalt (Co) Atoms

There is 1 cobalt ion on the left side and 1 cobalt atom on the right side. Therefore, cobalt is already balanced.

Step 5: Verify the Charge Balance

On the left side, we have:

1 K (neutral)
1 $\mathrm{Co}^{2+}$ (charge = +2)

On the right side, we have:

1 $\mathrm{K}^{+}$ (charge = +1)
1 Co (neutral)

The charges are not balanced. To balance the charges, we need 2 potassium atoms on the left side and 2 potassium ions on the right side.

Step 6: Balance the Equation

The balanced equation is: \[ 2\mathrm{K}(s) + \mathrm{Co}^{2+}(aq) \rightarrow 2\mathrm{K}^{+}(aq) + \mathrm{Co}(s) \]

Final Answer

$\boxed{2, 1, 2, 1}$

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