(i) 2 gm `H_(2)SO_(4)` is dissolved in 38 gm water. Find (w/w)%

Answer

To solve the problem of finding the weight/weight percentage (w/w%) of H₂SO₄ in a solution where 2 grams of H₂SO₄ is dissolved in 38 grams of water, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Mass of the Solute and Solvent:**
- Mass of solute (H₂SO₄) = 2 grams
- Mass of solvent (water) = 38 grams

2. **Calculate the Mass of the Solution:**
- The mass of the solution is the sum of the mass of the solute and the mass of the solvent.
- Mass of solution = Mass of solute + Mass of solvent
- Mass of solution = 2 grams + 38 grams = 40 grams

3. **Use the Formula for Weight/Weight Percentage:**
- The formula for weight/weight percentage is given by:
\[ \text{w/w\%} = \left( \frac{\text{mass of solute}}{\text{mass of solution}} \right) \times 100 \]

4. **Substitute the Values into the Formula:**
- Substitute the mass of the solute and the mass of the solution into the formula:
\[ \text{w/w\%} = \left( \frac{2 \text{ grams}}{40 \text{ grams}} \right) \times 100 \]

5. **Calculate the Result:**
- Calculate the fraction:
\[ \frac{2}{40} = 0.05 \]
- Now multiply by 100 to get the percentage:
\[ 0.05 \times 100 = 5\% \]

### Final Answer:
The weight/weight percentage (w/w%) of H₂SO₄ in the solution is **5%**.

---