Density Problem Set, Answers

Problem 1: Calculate the density of a piece of concrete. Solution: Density = mass / volume = 8.76 g / 3.07 cm³ = 2.85 g/cm³ Problem 2: Calculate the density of a sample of ivory. Solution: Density = mass / volume = 26.8 g / 14.5 cc = 1.85 g/cc Problem 3: Calculate the density of ancient pottery. Solution: Density = mass / volume = 0.61 g / 0.26 cc = 2.35 g/cc Problem 4: Calculate the mass of limestone. Solution: Mass = density * volume = 2.72 g/cc * 24.9 cc = 67.73 g Problem 5: Calculate the volume of calcium chloride. Solution: Volume = mass / density = 7.91 g / 2.50 g/mL = 3.16 mL Problem 6: Calculate the mass of ammonium magnesium chromate. Solution: Mass = density * volume = 1.84 g/mL * 7.62 mL = 14.02 g Problem 7: Calculate the minimum volume of a tank to hold methanol. Solution: Volume = mass / density = 795 kg * 1000 g/kg / 0.788 g/cc = 1,008,883.25 cc or 10,088.83 m³ Problem 8: Calculate the density of a pine board. Solution: Volume = length * width * height = 4.05 cm * 8.85 cm * 164 cm = 5878.17 cm³ Density = mass / volume = 2580 g / 5878.17 cm³ = 0.44 g/cm³ Problem 9: Calculate the density of a cylindrical steel rod. Solution: Calculate the volume of the rod using the formula V = πr²h Plug in the values: V = π(0.311 cm)²(22.1 cm) = 6.72 cm³ Density = mass / volume = 51.6 g / 6.72 cm³ = 7.69 g/cm³ Problem 10: Calculate the density of a copper block. Solution: Calculate the volume of the block using the formula V = lwh Plug in the values: V = (12 cm)(8.5 cm)(0.5 cm) = 51 cm³ Density = mass / volume = 457.00 g / 51 cm³ = 8.96 g/cm³ Problem 11: Calculate the volume of sulfuric acid. Solution: Volume = mass / density = 25.00 g / 1.83 g/mL = 13.66 mL Problem 12: Calculate the dimensions of a tungsten cube. Solution: Calculate the volume of the cube using the formula V = m/d Plug in the values: V = 521.10 g / 19.3 g/cm³ = 27 cm³ Since it's a cube, each side has the same length. So, the length of one side is the cube root of the volume: ∛27 cm³ = 3 cm Problem 13: Identify an unknown element based on its density. Solution: Calculate the density of the unknown element: 32.50 g / 3.10 cc = 10.48 g/cc Compare this density to the densities of the given elements. The closest match is silver (Ag) with a density of 10.49 g/cc. Problem 14: Calculate the density of a meteorite. Solution: Calculate the volume of the meteorite by subtracting the initial water level from the final water level: 45.9 mL - 25.8 mL = 20.1 mL Density = mass / volume = 163 g / 20.1 mL = 8.11 g/mL