To determine the molar concentration of a solution, you can use the formula:
[tex]\[ \text{Molar concentration (M)} = \frac{\text{moles of solute}}{\text{volume of solution in dm}^3} \][/tex]
Given the details of the problem:
- Moles of NaCl (the solute) = 2 moles
- Volume of the solution = 5 dm³
Follow these steps to calculate the molar concentration:
1. Identify the given values:
- Moles of NaCl: [tex]\( 2 \)[/tex] moles
- Volume of the solution: [tex]\( 5 \)[/tex] dm³
2. Apply the formula for molar concentration:
[tex]\[
\text{Molar concentration (M)} = \frac{\text{moles of solute}}{\text{volume of solution in dm}^3}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
\text{Molar concentration (M)} = \frac{2 \text{ moles}}{5 \text{ dm}^3}
\][/tex]
4. Perform the division:
[tex]\[
\text{Molar concentration (M)} = 0.4 \text{ mol/dm}^3
\][/tex]
Therefore, the molar concentration of the solution is [tex]\( 0.4 \)[/tex] mol/dm³.