A 24.5 g sample of solution has a density of 0.768 g/ml. What is the volume of the sample in ml?

• A. 31.9 ml
• B. 0.0314 ml
• C. 18.8 ml
• D. 24.5 ml

Answer: (A)

Verified step by step guidance

1. Identify the given quantities: mass of the solution (m) = 24.5 g, and density (\rho) = 0.768 g/mL.
2. Recall the relationship between density, mass, and volume: \(\rho = \frac{m}{V}\), where \(V\) is the volume in mL.
3. Rearrange the formula to solve for volume: \(V = \frac{m}{\rho}\).
4. Substitute the known values into the equation: \(V = \frac{24.5\ \text{g}}{0.768\ \text{g/mL}}\).
5. Perform the division to find the volume in mL (do not calculate the final value here, just set up the expression).