To balance the chemical equation you've provided, we need to make sure that the number of each type of atom on the reactant side (left) is equal to the number on the product side (right).
The unbalanced equation is:
\[ 4 , \text{NaCl} + 2 , \text{SO}_2 + 2 , \text{H}_2\text{O} + 2 , \text{O}_2 \rightarrow 2 , \text{Na}_2\text{SO}_4 + 4 , \text{HCl} \]
Let's balance it step by step:
-
Sodium (Na):
- Left: 4 from \(4 , \text{NaCl}\)
- Right: 4 from \(2 , \text{Na}_2\text{SO}_4\)
-
Chlorine (Cl):
- Left: 4 from \(4 , \text{NaCl}\)
- Right: 4 from \(4 , \text{HCl}\)
-
Sulfur (S):
- Left: 2 from \(2 , \text{SO}_2\)
- Right: 2 from \(2 , \text{Na}_2\text{SO}_4\)
-
Oxygen (O):
- Left: \(2 \times 2\) from \(2 , \text{SO}_2\) + \(2 \times 1\) from \(2 , \text{H}_2\text{O}\) + \(2 \times 2\) from \(2 , \text{O}_2\) = 4 + 2 + 4 = 10
- Right: \(2 \times 4\) from \(2 , \text{Na}_2\text{SO}_4\) + \(4 \times 1\) from \(4 , \text{HCl}\) = 8 + 4 = 12
-
Hydrogen (H):
- Left: \(2 \times 2 = 4\) from \(2 , \text{H}_2\text{O}\)
- Right: \(4\) from \(4 , \text{HCl}\)
Now, on comparison, the equation appears to already be balanced for Sodium (Na), Chlorine (Cl), Sulfur (S), and Hydrogen (H) when each element is counted. However, the Oxygen atoms don’t balance (Left: 10 vs Right: 12).
To correct the oxygen balance, adjustments may be required. The original equation is likely unbalanced due to oxygen components. Please verify specific values if you had something altered, or let me know any required changes!