Centimolar solution has volume `6 dm^(3)`. Calculate its number of moles.

Options

A. 0.06
B. 0.006
C. 0.6
D. 6

Explanation

To solve the problem of calculating the number of moles in a centimolar solution with a volume of 6 dm³, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Centimolar:**
- A centimolar solution (cM) is defined as a solution with a molarity of 0.01 M, which can also be expressed as \(10^{-2}\) M.

2. **Convert Volume from dm³ to Liters:**
- The volume of the solution is given as 6 dm³. Since 1 dm³ is equivalent to 1 liter, the volume in liters is:
\[ \text{Volume} = 6 \, \text{dm}^3 = 6 \, \text{liters} \]

3. **Use the Molarity Formula:**
- The formula for molarity (M) is given by:
\[ M = \frac{\text{Number of moles of solute}}{\text{Volume of solution in liters}} \]
- Rearranging this formula to find the number of moles gives us:
\[ \text{Number of moles} = M \times \text{Volume} \]

4. **Substitute the Values:**
- Substitute the values of molarity and volume into the equation:
\[ \text{Number of moles} = 0.01 \, \text{M} \times 6 \, \text{liters} \]

5. **Calculate the Number of Moles:**
- Performing the multiplication:
\[ \text{Number of moles} = 0.01 \times 6 = 0.06 \, \text{moles} \]

6. **Conclusion:**
- The number of moles of solute in the centimolar solution is \(0.06\) moles.

### Final Answer:
The number of moles in the centimolar solution with a volume of 6 dm³ is **0.06 moles**.