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Multiple Choice
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
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Verified step by step guidance
1
Step 1: Determine the volume of the unknown solid by finding the difference in water levels before and after placing the solid in the beaker. Use the formula: \(\text{Volume of solid} = \text{Final water level} - \text{Initial water level}\).
Step 2: Convert the weight of the solid from pounds (lbs) to grams (g) because density is asked in g/mL. Use the conversion factor: \(1 \text{ lb} = 453.592 \text{ g}\).
Step 3: Calculate the density of the solid using the formula: \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\). Here, mass is in grams and volume is in milliliters (mL).
Step 4: Substitute the values obtained from steps 1 and 2 into the density formula to find the density in g/mL.
Step 5: Analyze the calculated density and compare it with the given options to identify the correct answer.