Increasing order of acidic character would be

Options

A. `CH_(3)COOH lt H_(2)SO_(4) lt H_(2)CO_(3)`
B. `CH_(3)COOH lt H_(2)CO_(3) lt H_(2)SO_(4)`
C. `H_(2)CO_(3) lt CH_(3)COOH lt H_(2)SO_(4)`
D. `H_(2)SO_(4) lt H_(2)CO_(3) lt CH_(3)COOH `

Explanation

To determine the increasing order of acidic character among the given acids, we need to analyze the strength of each acid. The acids mentioned are:

1. Sulfuric Acid (H₂SO₄)
2. Acetic Acid (CH₃COOH)
3. Carbonic Acid (H₂CO₃)

### Step-by-Step Solution:

**Step 1: Identify the Acids**
- The acids we are comparing are:
- H₂SO₄ (Sulfuric Acid)
- CH₃COOH (Acetic Acid)
- H₂CO₃ (Carbonic Acid)

**Step 2: Understand Acid Strength**
- The strength of an acid is determined by its ability to donate protons (H⁺ ions) in solution. Stronger acids dissociate more completely in water.

**Step 3: Compare Acid Strengths**
- **Sulfuric Acid (H₂SO₄)**: This is a strong acid that dissociates completely in water, making it the strongest among the three.
- **Acetic Acid (CH₃COOH)**: This is a weak acid that does not dissociate completely in water. It has a lower acidic character compared to sulfuric acid.
- **Carbonic Acid (H₂CO₃)**: This is also a weak acid, but it is weaker than acetic acid. It partially dissociates in water, leading to a lower concentration of H⁺ ions compared to acetic acid.

**Step 4: Arrange in Increasing Order**
- Based on the above analysis, we can arrange the acids in order of increasing acidic character:
- H₂CO₃ (Carbonic Acid) < CH₃COOH (Acetic Acid) < H₂SO₄ (Sulfuric Acid)

### Final Answer:
The increasing order of acidic character is:
H₂CO₃ (Carbonic Acid) < CH₃COOH (Acetic Acid) < H₂SO₄ (Sulfuric Acid)