What will be the volume of 12 M solutions, if it is equivalent to 240 mL of 18 M solution?

Options

A. 6 L
B. 600 L
C. 400 L
D. 0.36 L

Explanation

To find the volume of a 12 M solution that is equivalent to 240 mL of an 18 M solution, we can use the formula that relates molarity and volume:

\[ M_1 \times V_1 = M_2 \times V_2 \]

Where:
- \( M_1 \) = Molarity of the first solution (12 M)
- \( V_1 \) = Volume of the first solution (unknown)
- \( M_2 \) = Molarity of the second solution (18 M)
- \( V_2 \) = Volume of the second solution (240 mL)

### Step-by-Step Solution:

1. **Identify the known values:**
- \( M_1 = 12 \, \text{M} \)
- \( M_2 = 18 \, \text{M} \)
- \( V_2 = 240 \, \text{mL} \)

2. **Set up the equation:**
\[ 12 \, \text{M} \times V_1 = 18 \, \text{M} \times 240 \, \text{mL} \]

3. **Calculate the right side:**
\[ 18 \times 240 = 4320 \]

4. **Substitute back into the equation:**
\[ 12 \, V_1 = 4320 \]

5. **Solve for \( V_1 \):**
\[ V_1 = \frac{4320}{12} \]

6. **Calculate \( V_1 \):**
\[ V_1 = 360 \, \text{mL} \]

7. **Convert to liters (if necessary):**
Since the question may require the answer in liters, convert mL to L:
\[ V_1 = 360 \, \text{mL} = \frac{360}{1000} \, \text{L} = 0.36 \, \text{L} \]

### Final Answer:
The volume of the 12 M solution that is equivalent to 240 mL of the 18 M solution is **0.36 L**.