South Pasadena • Chemistry Name Period Date 1 · Chemistry Foundations DENSITY WORKSHEET 1. Consider two metal cubes, Cube 1 and Cube 2. (Make sure you fully understand these before continuing.) a. If the two cubes have the same mass, but cube 1 has half the volume as cube 2, which has a greater density? b. The two cubes are both solid copper, but Cube 1 has twice the volume as Cube 2. Which has a greater density? c. Cube 1 has a mass of 5 kg and Cube 2 has a mass of 20 kg. If they occupy the same volume, which has a greater density? Cube 2 d. Cube 1 has a greater density than Cube 2. Which occupies a larger volume, a 2-kg block of Cube 1 or a 2-kg block of Cube 2? Cube 2 2. A 12.0 cm3 bar of lead metal has a mass of 136 g. What is the density of lead? m = 136 g V = 12.0 cm3 136 g m D=? D= = = 11.3 g/cm3 V 12.0 cm3 3. Liquid mercury has a density of 13.546 g/cm3. What is the mass of 5.0 cm3 of mercury? m=? V = 5.0 cm3 13.546 g D = 13.546 g/cm3 m = V × D = (5.0 cm3) 1 cm3 = 68 g 4. Diamond has a density of 3.500 g/cm3. What is the volume that a 8.5 g piece of diamond? m = 8.5 g V=? 8.5 g m D = 3.500 g/cm3 V= = = 2.4 cm3 D 3.500 g/cm3 5. A piece of cork has a mass of 21.62 g. When placed in a graduated cylinder originally filled with 30.0 mL of water, the level of the water rose to 35.2 mL. What is the density of the cork? m = 21.62 g V = 35.2 mL – 30.0 mL = 5.2 mL m 21.62 g D=? D= = = 0.61 g/mL V 5.2 mL Cube 1 Same 6. A balloon filled with helium gas has a volume of 1.25 L. If the density of helium gas (at STP) is 0.164 g/L, what is the mass of the gas in the balloon? m=? V = 1.25 L 0.164 g D = 0.164 g/L m = V × D = (1.25 L) 1 L = 0.205 g 7. A 461-g block of a block of iron is shaped in a rectangular prism has dimensions 10.5 cm × 12.0 cm × 0.50 cm? a. What is the density of this block? m = 461 g V = (10.5 cm)(12.0 cm)(0.50 cm) = 63 cm3 461 g m D=? D= = = 7.3 g/cm3 V 63 cm3 b. If the accepted value for the density of iron is 7.870 g/cm3, what is the % error? | calculated − accepted | | 7.3 g/cm3 - 7.870 g/cm3 | % error = × 100% = × 100% accepted 7.870 g/cm3 = 7% 8. A 5.64-g piece of plastic has a volume of 4.8 cm3. If water has a density of 1 g/cm3, will the plastic sink or float? m = 5.64 g V = 4.6 cm3 5.64 g m D=? D= = = 1.2 g/cm3 V 4.8 cm3 Because the density of plastic is greater than the density of water, the plastic will sink. 9. The density of water is 1 g / mL. Express this in kg/L. 1 g 1 kg 1000 mL = 1 kg/L 1 mL 1000 g 1 L
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