Final answer:
To find the molarity of the solution, divide the number of moles of solute by the volume of the solution in liters. In this case, the molarity is 1.67 M.
Step-by-step explanation:
To find the molarity of the solution, we need to first convert the mass of the solute (sodium hydroxide) to moles. We can do this by dividing the mass of the solute (100 grams) by the molar mass of sodium hydroxide (40.0 g/mol). This gives us 2.50 moles of sodium hydroxide.
Next, we need to convert the volume of the solution to liters. The given volume is 1500 milliliters, which is equivalent to 1.5 liters.
Finally, we can calculate the molarity by dividing the number of moles of solute (2.50 moles) by the volume of the solution in liters (1.5 L). This gives us a molarity of 1.67 M.