Step 1: Understand the composition of \( \text{H}_2\text{SO}_4 \).
In the compound \( \text{H}_2\text{SO}_4 \), we have:
- 2 hydrogen atoms (\( \text{H} \)),
- 1 sulfur atom (\( \text{S} \)),
- 4 oxygen atoms (\( \text{O} \)).
Step 2: Assign oxidation states.
- The oxidation state of hydrogen (\( \text{H} \)) is \( +1 \).
- The oxidation state of oxygen (\( \text{O} \)) is \( -2 \).
Step 3: Set up the equation for the oxidation state of sulfur.
The sum of the oxidation states in a neutral compound is zero. Let the oxidation state of sulfur be \( x \).
For \( \text{H}_2\text{SO}_4 \), the equation becomes:
\[
2(+1) + x + 4(-2) = 0
\]
Simplifying:
\[
2 + x - 8 = 0
\]
\[
x = 6
\]
Answer: Therefore, the oxidation state of sulfur in \( \text{H}_2\text{SO}_4 \) is \( +6 \).