What mass of NaOH is present in 50.0 mL of a 0.100 M NaOH solution?

• A. 0.500 g
• B. 0.050 g
• C. 0.200 g
• D. 0.400 g

Answer: (D)

Verified step by step guidance

1. Identify the given information: volume of the NaOH solution is 50.0 mL and the molarity (M) is 0.100 M. Remember that molarity is defined as moles of solute per liter of solution.
2. Convert the volume from milliliters to liters because molarity uses liters: \(\text{Volume (L)} = \frac{50.0\ \text{mL}}{1000}\).
3. Calculate the number of moles of NaOH using the molarity formula: \(\text{moles} = M \times \text{Volume (L)}\).
4. Find the molar mass of NaOH by adding the atomic masses of sodium (Na), oxygen (O), and hydrogen (H). This value will be used to convert moles to grams.
5. Calculate the mass of NaOH by multiplying the moles of NaOH by its molar mass: \(\text{mass (g)} = \text{moles} \times \text{molar mass (g/mol)}\).