What is the molarity of 0.1 moles of NaCl dissolved in a solution which has a total volume of 500 mL?

Explanation

To find the molarity of a solution, we can follow these steps:

### Step 1: Understand the formula for molarity
Molarity (M) is defined as the number of moles of solute divided by the volume of the solution in liters. The formula is:
\[ \text{Molarity (M)} = \frac{\text{Number of moles of solute}}{\text{Volume of solution in liters}} \]

### Step 2: Identify the given values
From the question:
- Number of moles of NaCl = 0.1 moles
- Volume of solution = 500 mL

### Step 3: Convert the volume from mL to L
Since molarity requires the volume in liters, we need to convert 500 mL to liters:
\[ 500 \text{ mL} = \frac{500}{1000} \text{ L} = 0.5 \text{ L} \]

### Step 4: Substitute the values into the molarity formula
Now, we can substitute the values into the molarity formula:
\[ \text{Molarity (M)} = \frac{0.1 \text{ moles}}{0.5 \text{ L}} \]

### Step 5: Calculate the molarity
Perform the calculation:
\[ \text{Molarity (M)} = \frac{0.1}{0.5} = 0.2 \text{ M} \]

### Final Answer
The molarity of the NaCl solution is **0.2 M**.

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