What volume (in mL) of a 15% (m/v) NaOH solution contains 120 g NaOH?

• A. 1500 mL
• B. 1200 mL
• C. 1800 mL
• D. 800 mL

Answer: (D)

Verified step by step guidance

1. Understand that a 15% (m/v) NaOH solution means there are 15 grams of NaOH dissolved in every 100 mL of solution.
2. Set up a proportion to find the volume of solution that contains 120 g of NaOH using the relationship: \(\frac{15 \, g}{100 \, mL} = \frac{120 \, g}{V \, mL}\), where \(V\) is the volume we want to find.
3. Cross-multiply to solve for \(V\): \$15 \times V = 120 \times 100$.
4. Isolate \(V\) by dividing both sides by 15: \(V = \frac{120 \times 100}{15}\).
5. Calculate \(V\) to find the volume in mL of the 15% NaOH solution that contains 120 g of NaOH.