The nature of mixture obtained by mixing 50mL of `0.1M H_(2)SO_(4)` and `50mL` of `0.1M NaOh` is:

Options

A. Acidic
B. Basic
C. Neutral
D. Amphoteric

Explanation

To determine the nature of the mixture obtained by mixing 50 mL of 0.1 M H₂SO₄ and 50 mL of 0.1 M NaOH, we will follow these steps:

### Step 1: Calculate the number of moles of NaOH
The molarity (M) is defined as the number of moles of solute (n) divided by the volume of solution in liters (V).

Given:
- Molarity of NaOH = 0.1 M
- Volume of NaOH = 50 mL = 0.050 L

Using the formula:
\[ M = \frac{n}{V} \]
We can rearrange it to find the number of moles:
\[ n = M \times V \]

Substituting the values:
\[ n_{\text{NaOH}} = 0.1 \, \text{mol/L} \times 0.050 \, \text{L} = 0.005 \, \text{mol} \]

### Step 2: Calculate the number of moles of H₂SO₄
Similarly, we calculate the number of moles of H₂SO₄.

Given:
- Molarity of H₂SO₄ = 0.1 M
- Volume of H₂SO₄ = 50 mL = 0.050 L

Using the same formula:
\[ n_{\text{H₂SO₄}} = M \times V \]

Substituting the values:
\[ n_{\text{H₂SO₄}} = 0.1 \, \text{mol/L} \times 0.050 \, \text{L} = 0.005 \, \text{mol} \]

### Step 3: Determine the number of moles of H⁺ ions from H₂SO₄
H₂SO₄ dissociates in water to produce 2 moles of H⁺ ions for every mole of H₂SO₄:
\[ \text{H₂SO₄} \rightarrow 2 \text{H}^+ + \text{SO₄}^{2-} \]

Thus, the number of moles of H⁺ ions is:
\[ n_{\text{H}^+} = 2 \times n_{\text{H₂SO₄}} = 2 \times 0.005 \, \text{mol} = 0.010 \, \text{mol} \]

### Step 4: Determine the number of moles of OH⁻ ions from NaOH
NaOH dissociates completely in water to produce 1 mole of OH⁻ ions for every mole of NaOH:
\[ \text{NaOH} \rightarrow \text{Na}^+ + \text{OH}^- \]

Thus, the number of moles of OH⁻ ions is:
\[ n_{\text{OH}^-} = n_{\text{NaOH}} = 0.005 \, \text{mol} \]

### Step 5: Compare the number of moles of H⁺ and OH⁻
Now we compare the number of moles of H⁺ and OH⁻:
- Moles of H⁺ = 0.010 mol
- Moles of OH⁻ = 0.005 mol

Since the number of moles of H⁺ (0.010 mol) is greater than the number of moles of OH⁻ (0.005 mol), the resulting mixture will be acidic.

### Conclusion
The nature of the mixture obtained by mixing 50 mL of 0.1 M H₂SO₄ and 50 mL of 0.1 M NaOH is **acidic**.