Chapter 1, Problem 1.86AE

Suppose a room is 18 m long, 15 m wide, and the distance from floor to ceiling is 2.9 m. What is the room’s volume in cubic meters? In cubic centimeters? In liters?

A sample of a bright blue mineral was weighed in air, then weighed again while suspended in water. An object is buoyed up by the mass of the fluid displaced by the object. In air, the mineral weighed 7.35 g; in water, it weighed 5.40 g. The densities of air and water are 1.205 g/L and 0.9982 g/cm3, respectively. What is the density of the mineral?

A solution is prepared by dissolving table salt, sodium chloride, in water at room temperature. a Assuming there is no significant change in the volume of water during the preparation of the solution, how would the density of the solution compare to that of pure water? b If you were to boil the solution for several minutes and then allow it to cool to room temperature, how would the density of the solution compare to the density in part a? c If you took the solution prepared in part a and added more water, how would this affect the density of the solution?

At 25 C the density of water is 0.997 g/mL, whereas the density of ice at 10 C is 0.917 g/mL. (a) If a plastic soft-drink bottle (volume = 250 mL) is completely filled with pure water, capped, and then frozen at 10 C, what volume will the solid occupy? (b) What will the bottle look like when you take it out of the freezer?

A 124-g sample of a pure liquid, liquid A, with a density of 3.00 g/mL is mixed with a 40.8-mL sample of a pure liquid, liquid B, with a density of 2.00 g/mL. What is the total volume of the mixture? (Assume there is no reaction upon the mixing of A and B, and volumes are additive.)

1.87 A solution of ethanol in water has a volume of 54.2 mL and a mass of 49.6 g. what information would you need to look up and how would you determine the percentage of ethanol in this solution?

On October 21, 1982, the Bureau of the Mint changed the composition of pennies (see Exercise 120). Instead of an alloy of 95% Cu and 5% Zn by mass, a core of 99.2% Zn and 0.8% Cu with a thin shell of copper was adopted. The overall composition of the new penny was 97.6% Zn and 2.4% Cu by mass. Does this account for the difference in mass among die pennies in Exercise 120? Assume the volume of the individual metals that make up each penny can be added together to give the overall volume of the penny, and assume each penny is the same size. (Density of Cu = 8.96 g/cm3; density of Zn = 7.14 g/cm3).

1.62 The dimensions of aluminium foil in a box for sale in supermarkets are 66 yards by 12 inches. The mass of the foil is 0.83 kg. If its density is 2.70 g/cm, then what is the thickness of the foil in inches?

A liquid with a volume of 8.5 mL has a mass of 6.71 g. The liquid is either octane, ethanol, or benzene, the densities of which are 0.702 g/cm3, 0.789 g/cm3, and 0.879 g/cm3, respectively. What is the identity of the liquid?