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Chapter 13: Problem 41

If 15.55 g \(\mathrm{NaOH}\) are dissolved in enough water to make a 500.0 \(\mathrm{mL}\) solution, what is the molarity of the solution?

Short Answer

Expert verified
The molarity of the solution is 0.7776 M

Step by step solution

01

Calculate moles of NaOH

Using the molar mass, convert the mass of NaOH to moles. The molar mass of NaOH is 39.997 g/mol. Use the formula: Number of moles = mass(in g)/Molar mass(in g/mol). So, Moles of NaOH = 15.55 g / 39.997 g/mol = 0.3888 mol.
02

Convert volume to liters

Molarity is usually expressed in moles per liter (mol/L = M). So, it is necessary to convert the volume from milliliters to liters. 1 L = 1000 mL. So, Volume = 500.0 mL = 0.500 L.
03

Calculate molarity

Substitute the values into the formula for molarity: Molarity = moles of solute / volume of solution in liters. Molarity = 0.3888 mol / 0.500 L = 0.7776 M.

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