A block of solid that weighs 58.16 g was placed in a container with a 100 mL capacity. It was then filled to capacity with liquid benzene and measured to have a combined weight of 96.15 g. Calculate the density of the solid if the density of benzene is 0.879 g/mL.

• A. 0.95 g/mL
• B. 1.23 g/mL
• C. 1.10 g/mL
• D. 1.35 g/mL

Answer: (B)

Verified step by step guidance

1. Determine the mass of the benzene by subtracting the mass of the solid from the combined mass: 96.15 g (combined mass) - 58.16 g (mass of solid).
2. Calculate the volume of benzene using its density. Use the formula: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \), where the density of benzene is 0.879 g/mL.
3. Find the volume of the solid by subtracting the volume of benzene from the total volume of the container: 100 mL (total volume) - Volume of benzene.
4. Calculate the density of the solid using the formula: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \), where the mass is 58.16 g and the volume is the one calculated in the previous step.
5. Compare the calculated density with the given options to identify the correct answer.