Answer:
The molarity of the solution is 3.0 M.
Step by Step Explanation:
To find the molarity of a solution, we need to know the number of moles of solute (in this case, NaOH) and the volume of the solution.
The first step is to calculate the number of moles of NaOH in the solution:
number of moles = mass / molar mass
The molar mass of NaOH is the sum of the atomic masses of the constituent atoms:
NaOH = Na + O + H = 23.0 g/mol + 16.0 g/mol + 1.0 g/mol = 40.0 g/mol
number of moles = 60.0 g / 40.0 g/mol = 1.5 mol
Next, we need to determine the volume of the solution in liters:
volume = 0.5 L
Finally, we can calculate the molarity (M) of the solution using the formula:
Molarity = moles of solute / volume of solution
Molarity = 1.5 mol / 0.5 L = 3.0 M
Therefore, the molarity of the solution is 3.0 M.