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Multiple Choice
What is the molar concentration of a solution prepared by dissolving 25.75 g of NaOH in water to produce 500.0 mL of solution?
A
0.64 M
B
0.32 M
C
1.29 M
D
2.58 M
Verified step by step guidance
1
Calculate the molar mass of NaOH by adding the atomic masses of sodium (Na), oxygen (O), and hydrogen (H). Use the periodic table to find these values: Na = 22.99 g/mol, O = 16.00 g/mol, H = 1.01 g/mol.
Add the atomic masses to find the molar mass of NaOH: Molar mass of NaOH = 22.99 g/mol + 16.00 g/mol + 1.01 g/mol.
Determine the number of moles of NaOH by dividing the mass of NaOH by its molar mass: \( \text{moles of NaOH} = \frac{25.75 \text{ g}}{\text{molar mass of NaOH}} \).
Convert the volume of the solution from milliliters to liters, since molarity is expressed in moles per liter: \( 500.0 \text{ mL} = 0.5000 \text{ L} \).
Calculate the molarity of the solution by dividing the number of moles of NaOH by the volume of the solution in liters: \( \text{Molarity} = \frac{\text{moles of NaOH}}{0.5000 \text{ L}} \).