In its 0.2 M solution, acid ionies to an extent of 60%. Its hydrogen ion concentration is

Options

A. 0.6 M
B. 0.2 M
C. 0.12 M
D. None of these

Explanation

To find the hydrogen ion concentration in a 0.2 M solution of an acid that ionizes to an extent of 60%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Concentration of the acid (C) = 0.2 M
- Degree of ionization (α) = 60% = 0.60

2. **Calculate the concentration of hydrogen ions produced:**
- When an acid ionizes, it produces hydrogen ions (H⁺) and its conjugate base (A⁻). The ionization can be represented as:
\[ HA \rightleftharpoons H^+ + A^- \]
- For every mole of HA that ionizes, one mole of H⁺ is produced. Therefore, the concentration of H⁺ ions produced can be calculated using the formula:
\[ [H^+] = C \times \alpha \]
- Substituting the values:
\[ [H^+] = 0.2 \, \text{M} \times 0.60 = 0.12 \, \text{M} \]

3. **Conclusion:**
- The hydrogen ion concentration in the solution is 0.12 M.

### Final Answer:
The hydrogen ion concentration is **0.12 M**.

---