Use the equation to answer the question.(1 point)

4
N
a
C
l
+
2
S
O
2
+
2
H
2
O
+

O
2


N
a
2
S
O
4
+
4
H
C
l

Select the numbers from the drop down box that would balance this equation.

1 answer

To balance the chemical equation given, we need to ensure that the number of atoms for each element is the same on both sides of the equation.

The unbalanced equation is:

\[ 4 , \text{NaCl} + 2 , \text{SO}_2 + 2 , \text{H}_2\text{O} + O_2 → \text{Na}_2\text{SO}_4 + 4 , \text{HCl} \]

We will analyze each component:

Reactants:

  • Sodium (Na): 4 (from 4 NaCl)
  • Chlorine (Cl): 4 (from 4 NaCl)
  • Sulfur (S): 2 (from 2 SO₂)
  • Oxygen (O): 2 (from 2 H₂O) + 2 (from O₂) = 4 total
  • Hydrogen (H): 4 (from 2 H₂O)

Products:

  • Sodium (Na): 2 (from Na₂SO₄)
  • Chlorine (Cl): 4 (from 4 HCl)
  • Sulfur (S): 1 (from Na₂SO₄)
  • Oxygen (O): 4 (from Na₂SO₄) + 4 (from 4 HCl) = 8 total
  • Hydrogen (H): 4 (from 4 HCl)

To balance the equation, we see that:

  • We have 4 Na and need 2 Na in products, so we need 4 NaCl to provide enough Na.
  • We have only 1 S in products and 2 in reactants; we need to balance the sulfur atoms by ensuring the same number on both sides.
  • The hydroxide ions and hydrogen need to be balanced with the same number.
  • The oxygen atoms should be arranged so that each side balances out.

After reviewing the equation, it seems there is already balance in the Cl and H quantities. However, we have mismatched S and O.

Let's redistribute:

\[ 2 , \text{Na}_2\text{SO}_4 + 4 , \text{NaCl} + 2 , \text{SO}_2 + 2 , \text{H}_2\text{O} + O_2 \rightarrow 2 , \text{Na}_2\text{SO}_4 + 4 , \text{HCl} \text{ should be balanced completely } \]

The numbers to balance this equation will generally be finalized upon applying proper coefficients.

Thus, confirming coefficients:

  • Confirm each atom count remains equal before and after, using balanced equations from prior calculations - ensuring that each substance matches the stoichiometric coefficients defined for balanced chemical handling.

The final balanced equation should look something like:

\[ 4 , \text{NaCl} + 2 , \text{SO}_2 + 2 , \text{H}_2\text{O} + O_2 → 2 , \text{Na}_2\text{SO}_4 + 4 , \text{HCl} \]

In the drop-down selections you might need numbers like 4 for NaCl, 2 for SO₂, 2 for H₂O, and O₂ in a way to maintain balance.

As a result, you would choose:

  • Sodium (\[4\]), Chlorine (\[4\]), Sulfur (\[2\]), etc to balance the overall equation.
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