To balance the given chemical equation \( \text{MnO}_2 + \text{HCl} \rightarrow \text{MnCl}_2 + \text{H}_2\text{O} + \text{Cl}_2 \), you need to count and balance the number of atoms of each element on both sides of the equation.
Let's break down the equation:
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Start with the reactants:
- Mn: 1 (from MnO2)
- O: 2 (from MnO2)
- H: 1 (from HCl)
- Cl: 1 (from HCl)
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Now look at the products:
- Mn: 1 (from MnCl2)
- Cl: 2 (from MnCl2) + 2 (from Cl2) = 4
- H: 2 (from H2O)
- O: 1 (from H2O)
Now let’s balance these:
Starting with Mn, we have 1 per side.
Next, for Cl, since we need 4 Cl in the products, we will need to adjust the amount of HCl on the reactant side:
If we use 4 HCl, the counts will be:
- H: 4 (from 4 HCl)
- Cl: 4 (from 4 HCl)
Now we also have:
- Mn: 1
- O: 2 (from MnO2)
With these additions, the water would provide 2 H and 1 O:
- We have 1 Mn on both sides.
- Cl is now balanced with 4 on both sides.
- H is also balanced with 4 on both sides from 2 H2O.
Now our balanced equation looks like this:
\( \text{1 MnO}_2 + \text{4 HCl} \rightarrow \text{1 MnCl}_2 + \text{2 H}_2\text{O} + \text{1 Cl}_2 \)
So the coefficients will be 1, 4, 1, 2, 1.
Therefore, the correct response is:
1, 4, 1, 2, 1