Which of the following is the correct volume in mL for a mass of 500 mcg, given a solution concentration of 1 mg/mL?

• A. 5 mL
• B. 50 mL
• C. 0.5 mL
• D. 0.05 mL

Answer: (C)

Verified step by step guidance

1. Identify the given values: mass = 500 micrograms (mcg), concentration = 1 milligram per milliliter (mg/mL).
2. Convert the mass from micrograms to milligrams because the concentration is in mg/mL. Use the conversion: 1 mg = 1000 mcg, so \( \text{mass in mg} = \frac{500}{1000} \).
3. Use the formula relating mass, volume, and concentration: \( \text{Volume} = \frac{\text{Mass}}{\text{Concentration}} \).
4. Substitute the converted mass and the concentration into the formula: \( \text{Volume} = \frac{\text{mass in mg}}{1 \text{ mg/mL}} \).
5. Calculate the volume in milliliters, which will give the correct volume corresponding to 500 mcg at 1 mg/mL concentration.