A piece of unknown solid weighs approximately 0.045 lbs. When a scientist places it in a glass beaker the water level increases from 200 mL to 260 mL. What is the density of the unknown solid in g/mL?

• A. 0.5 g/mL
• B. 0..2 g/mL
• C. 0.0007 g/mL
• D. 2.9 g/mL
• E. 0.3 g/mL

Answer: (E)

Verified step by step guidance

1. Convert the weight of the solid from pounds to grams. Use the conversion factor: 1 lb = 453.592 g. Multiply 0.045 lbs by 453.592 g/lb to find the mass in grams.
2. Determine the volume of the solid using the water displacement method. The initial water level is 200 mL and the final water level is 260 mL. Subtract the initial volume from the final volume to find the volume of the solid: 260 mL - 200 mL = 60 mL.
3. Use the formula for density: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). Substitute the mass in grams and the volume in mL into the formula.
4. Calculate the density using the values obtained from the previous steps. Ensure the units are consistent (grams for mass and mL for volume).
5. Compare the calculated density with the given options to identify the correct answer. The calculated density should match one of the provided choices.