You are asked to determine the mass of a piece of copper using its reported density, 8.96 g/ml, and a 150-ml graduated cylinder.

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You are asked to determine the mass of a piece of copper using its reported density, 8.96 g/ml, and a 150-ml graduated cylinder.

first, you add 105 ml of water to the graduated cylinder; then you place the piece of copper in the cylinder and record a volume of 137 ml. what is the mass of the copper reported with the correct number of significant figures?

Chemistry

2 answers:

castortr0y [3K] · Answer 1 · 2026-03-21T14:25:11+03:00

The mass of copper, reported with the appropriate significant figures, is 290 grams. For further clarification: Density is calculated from mass and volume, represented as mass per unit volume with units of g/cm³ or kg/m³. The formula for density is ρ = m/v. In our case, the density of copper is 8.96 g/mL. The change in volume in the graduated cylinder reflects the copper's volume. The initial volume is 105 mL, and the final volume is 137 mL, giving us a volume change of 137 - 105 = 32 mL. Thus, the mass is determined as: mass = 8.96 g/mL × 32 mL = 286.72 grams. When considering significant figures, since the volume has two significant figures, the final result is expressed with two significant figures as 290 grams.

lions [2.9K] · Answer 2 · 2026-03-21T14:25:29+03:00

The mass calculated for the copper piece is 290 grams. The formula for mass is given by mass = density × volume, where the density of copper is 8.96 grams per mL. The volume of the copper piece, determined by the increase in volume, equals 137 mL - 105 mL = 32 mL. Multiplying the volume by the density gives us the mass of copper: mass = 8.96 g/mL × 32 mL = 286.72 grams. Since the volume is presented with two significant figures, rounding the mass to two significant figures results in 290 grams.