Lead has a density of 11.34 g/cm^3 and oxygen has a density of 1.31 x 10^-3 g/cm^3 at room temperature. How many cm^3 are occupied by 1g of lead? By 1 g of oxygen? Comment on the difference in volume for the two elements. The Kohinoor Diamond ( d= 3.51 g/cm^3) is 108 carats. If one carat hasa mass of 2.00 x 10^3 mg , what is the mass of the Kohinoor Diamond in pounds? What is the volume of the diamond in cubic Inches? A waterbed filled with water has the dimensions 8.0 ft x 7.0 ft x 0.75 ft. Taking the density of water to be 1.00 g/cm^3,how many kilograms of water are required to fill the waterbed? Vinegar contains 5.00% acetic acid by mass and has a density of 1.01 g/mL. What mass(in grams) of acetic acid is present in 5.00 L of vinegar?

Calculate the mass of each of these objects.(a) How much mercury, with a density of 13.5939 g/cm3, weighs in at 8.00 cm3?If the density of 45.0 mL octane is 0.702 g/cm3, how much mass does it have?

(a) Three spheres of equal size are composed of aluminum1density = 2.70 g>cm32, silver 1density = 10.49 g>cm32,and nickel 1density = 8.90 g>cm32. List the spheres fromlightest to heaviest. (b) Three cubes of equal mass arecomposed of gold 1density = 19.32 g>cm32, plat inum1density = 21.45 g>cm32, and lead 1density = 11.35 g>cm32.List the cubes from smallest to largest. [Section 1.5]

The following statements pertain to the development of the theory of combustion by the French chemist Lavoisier in the eighteenth century. Match the statement with the appro- priate step (observation, hypothesis, experiment designed to test hypothesis) in the scientific method. (a) A metal is burned in a closed container, and the change in mass of the solid and volume of the gas is measured.(b) Oxygen gas combines with a substance during its combustion.(c) Combustion of a metal in a closed container ceases after a length of time.

Methanol (CH3OH) is a liquid at room temperature with a density of 7.91 ×102 kg/m³. In a certain experiment, from the reaction of 2.91 mL of methanol with 2.88 g of oxygen, 2.27 g of carbon dioxide was obtained. (а) (b) What type(s) of chemical reaction is (are) occurring in this experiment? What equipment do you think was used to measure the volume of methanol in this experiment? Calculate the percent yield of the carbon dioxide in this experiment. (c)

An empty vial weighs 55.32 g. (a) If the vial weighs 185.56 g when filled with liquid mercury (d = 13.53 g/cm3), what is its volume? (b) How much would the vial weigh if it were filled with water (d = 0.997 g/cm3 at 25°C)?

Identify the following samples of matter as macroscopic, microscopic, or particulate: (a) a human skin cell; (b) a sugar molecule; (c) a blade of grass; (d) a helium atom; (e) a singlecelled plant too small to see with the unaided eye.

3) Each of the beakers depicted below contains two liquids that do not dissolve in each other. Three of the liquids are designated A, B, and C, and water is designated W. (a) Which of the liquids is (are) more dense than water and which less dense? (b) If the densities of W, C, and A are 1.0 g/mL, 0.88 g/mL, and 1.4 g/mL, respectively, which of the following densities is possible for liquid B: 0.79 g/mL, 0.86 g/mL, 0.94 g/mL, orl.2 g/mL? A w

Scenes A–D represent atomic-scale views of different samples of substances: (a) Under one set of conditions, the substances in A and B mix, and the result is depicted in C. Does this represent a chemical or a physical change? (b) Under a second set of conditions, the same substances mix, and the result is depicted in D. Does this represent a chemical or a physical change? (c) Under a third set of conditions, the sample depicted in C changes to that in D. Does this represent a chemical or a physical change? (d) After the change in part (c) has occurred, does the sample have different chemical properties? Physical properties?