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June 14, 2010 at 3:46 PM Worksheet on Density Section A 1. The mass of air in a container of volume 640cm^3 is 0.8g. What is the density of air in kg m^-3? A. 1.25 kg m^-3 B. 800 kg m^-3 C. 1.25 x 10^-3 kg m^-3 D. 8.00 x 10^3 kg m^-3 2. When 500cm^3 of water is mixed with 500cm^3 of alcohol, the volume of the mixture is 918cm^3. What is the density of the mixture?(Density of water= 1.o g cm^-3; density of alcohol= 0.80 g cm^-3) A. 0.90 g cm^-3 B. 0.92 g cm^-3 C. 0.95 g cm^-3 D. 0.98 g cm^-3 3. When 2.0cm^3 of a liquid vaporised, the volume of the vapour is 2400cm^3. What is the ratio of the density of the liquid to the density of the vapour? A. 1/1200 B. 1/2400 C. 240 D. 1200 4. A piece of wood floats with 1/4 of its volume above the surface of water. If the density of water is 1.0 g cm^-3, the density of the wood is A. 0.25 g cm^-3 B. 0.67 g cm^-3 C. 0.75 g cm^-3 D. 1.25 g cm^-3  5. The diagram shows three substances, W, X and Z , placed into a container containing three immiscible liquids, L, M and N. Which of the following statements is correct? A. W has the highest density. B. Liquid M and substance X has the same density. C. Substance Z is more dense than N, ut less dense than M. D. Liquid L has the lowest density in this setup. 6. A large cube has dimensions 2m × 2m × 1m. If its mass is 1000kg, find its density. A. 25Okg/m^3 B. 500kg/m^3 C. 1000kg/m^3 D. 4000kg/m^3 7. The dimensions of a room are 5m long, 2m wide and 2m high. The density of air in the room is approximately 1.3kg/m^3. Find the approximate mass of air in the room. A. 0.065kg B. 15.4kg C. 21.3kg D. 26.0kg 8.A pupil carries out an experiment with a beaker and some liquid and obtains the following results: Mass of beaker: 96g Mass of beaker containing 100cm^3 of liquid: 184g What was the density of the liquid? A. 0.84g/cm^3 B. 0.88g/cm^3 C. 0.96g/cm^3 D. 1.84g/cm^3 9. The density of a liquid (i) is calculated by dividing its mass by its volume. (ii) depends on the temperature of the liquid. (iii) depends on the atmospheric pressure acting on the liquid. Which is true? A. Only (i) and (ii) B. Only (ii) and (iii) C. Only (i) and (iii) D. All (i), (ii) and (iii) 10. A metal block has a mass of 28g and is placed in a measuring cyclinder containing water. The water level then rises from 30cm^3 to 34cm^3. Find the density of the metal in g/m^3 A. 1.26 B. 0.14 C. 7.0 D.1.07 Section B 1. (a) Define density and state its SI unit. ____________________________________________________ (b) Write down one other common unit for density.__________________ (c) If the density of water is 1000kg/m^3, what is its equivalent in g/m^3? ____________________________________________________ (d) Paraffin oil has a density of 0.9g/cm^3. What is its equivalent in kg/m^3? ____________________________________________________ 2. Evaluate the following statements. Correct any false statements. (a) Density of a substance is its volume divided by its mass. True/False ____________________________________________________ (b) Density of a substance depends on its weight. True/False ____________________________________________________ (c) Density of substance depends on gravitational acceleration. True/False ____________________________________________________ (d) Density of one identical substance is always the same regardless of size or shape. True/False ____________________________________________________ 3. A metal alloy is made from a mixture of 500g of iron and 120g of cobalt. Iron has a density of 7.8g/cm^3 while cobalt has a density of 8.8g/cm^3. (a) Calculate the volume of iron and cobalt used. (b) What is the total volume of the mixture?______________________ (c) Calculate the density of the metal alloy. 4. When 1.0cm^3 of water turns into vapour, the volume is 1600cm^3. Determine the density of water vapour. (Density of water= 1.0 g cm^-3) 5. A metal cylinder is 25.0cm long and its diameter is 2.00cm. The density of the metal is 8.9 g cm^-3. (a) Name the instrument that can be used to measure (i) the length_____________________ (ii) the diameter of the cylinder___________________ (b) Calculate (i) the volume (ii) the mass of the cylinder 6. Complete the following table to find either the mass, volume or density of the material.  7. Three objects of densities 0.9g/cm^3, 1.0g/cm^3 and 1.1g/cm^3 respectively are placed in water of density 1.0g/cm^3. Draw the diagram below to show how the three objects will settle in water.
8. Two liquids and three solids spheres were put in a measuring cyclinder and allowed to settle. The diagram below shows the equilibrium position of the settled situation. Identify the liquids and the solids in the diagram based on the information provided.
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