Verified Answer :

Molarity = mol/L
(0.5M) = (2mol)/L
(2mol)/(0.5M) = L
4 liters

Answer: The volume of sodium hydroxide solution is 4L.

Explanation:

Molarity is defined as the number of moles present in one liter of solution.  Equation used to calculate molarity of the solution is:

\(\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}\)

We are given:

Moles of sodium hydroxide = 2 moles

Molarity of the solution = 0.5 moles/ L

Putting values in above equation, we get:

\(0.5mol/L=\frac{2mol}{\text{Volume of solution}}\\\\\text{Volume of the solution}=4L\)

Hence, the volume of the sodium hydroxide solution is 4 L.