10 millimoles of solute is present in the following volume of 0.08M solution

Options

A. 125 ml
B. 625 ml
C. 500 ml
D. 1000 ml

Explanation

To solve the problem of finding the volume of a solution when given the amount of solute and its molarity, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- We have 10 millimoles of solute.
- The molarity (M) of the solution is 0.08 M.

2. **Convert Millimoles to Moles**:
- Since 1 millimole is equal to \(10^{-3}\) moles, we can convert 10 millimoles to moles:
\[ \text{Number of moles} = 10 \, \text{mmol} = 10 \times 10^{-3} \, \text{moles} = 0.01 \, \text{moles} \]

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 volume of the solution gives us:
\[ \text{Volume of solution} = \frac{\text{Number of moles of solute}}{M} \]

4. **Substitute the Values**:
- Now, substituting the values we have:
\[ \text{Volume of solution} = \frac{0.01 \, \text{moles}}{0.08 \, \text{M}} = 0.125 \, \text{liters} \]

5. **Convert Liters to Milliliters**:
- Since the answer needs to be in milliliters, we convert liters to milliliters using the conversion factor \(1 \, \text{liter} = 1000 \, \text{milliliters}\):
\[ 0.125 \, \text{liters} = 0.125 \times 1000 \, \text{milliliters} = 125 \, \text{milliliters} \]

6. **Final Answer**:
- Therefore, the volume of the solution is **125 milliliters**.