Solve the Following Problems. Show All Your Work
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DENSITY
Solve the following problems. Show all your work!!! Always use units when solving problems.
D = m/V, where D is density, m is mass of an object, V is its volume. V = m/D; and V = l x w x h, where l is a length, w is a width, h is a height. m = DV
1. What is the density of a block of marble with a mass of 594 g and a volume of 216 cm3? 2. A 40.0 cm3 sample of quartz has a density of 2.65 g/cm3. What is the mass of the quartz sample? 3. The density of a sample of cork is 0.24 g/cm3. What is the volume of this sample if it has a mass of 36 g? 4. What volume of water would be required to fill a tank 25 cm long, 18 cm wide, and 13 cm deep? 5. A piece of granite has a mass of 55 g and a volume of 20.0 cm3. What is the density of this piece of granite? 6. Determine the volume occupied by 8.5 g of cork. The density of cork equals 0.24 g/cm3. 7. A piece of copper 12.00 cm long, 8.50 cm wide and 0.50 cm thick has a mass of 457.00 g. What is its density? 8. A 3.10 cm3 sample of an unknown element is found to have a mass of 42.2 g. Based on the information in Table (Problem #10) which element it could be? 9. Based on the given information determine the unknown quantity for the given samples: a. mass = 240.00 g, volume = 60.0 cm3, density - ? b. density = 11.3 g/cm3, volume = 4.6 cm3, mass - ? c. density = 13.6 g/cm3, mass = 14.5 g, volume - ? 10. Three liquids and four solids are placed in a 100 mL graduated cylinder. They arranged themselves from the top to bottom according to their densities. Given the following density information, identify the liquids and the solids in the graduated cylinder.
Substance Density (g/mL) Oak wood 0.71 Gold 19.3 Water 1.00 Gasoline 0.67 Mercury 13.6 Aluminum 2.7 Cork 0.21
a.______
b.______
c.______
d.______
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f.______
g.______
11. Use the information given in table to calculate the volume of 100 g of each of the following substances: gold, oak wood, gasoline, and aluminum. 12. The density of pure silver is 10.5 g/mL. If 5.25 g of pure silver is added to a graduated cylinder containing 11.2 mL water, to what volume level will the water in cylinder rise?