What is the density of lithium metal in g/cm³ if a cylindri- cal wire with a diameter of 2.40 mm and a length of 15.0 cm has a mass of 0.3624 g?
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- At 25 C, the density of water is 0.997 g/cm3, whereas the density of ice at 10 C is 0.917 g/cm3. (a) If a soft-drink can (volume = 250. mL) is filled completely with pure water at 25 C and then frozen at - 10 C, what volume does the ice occupy? (b) Can the ice be contained within the can?Copper can be drawn into thin wires. How many meters of 34-gauge wire (diameter 5 6.304 x10-3 in) can be produced from the copper in 5.01 lb of covellite, an ore of copper that is 66% copper by mass? (Hint: Treat the wire as a cylinder: V of cylinder = π r2h; d of copper 5 8.95 g/cm3.)Pheromones are compounds secreted by females of manyinsect species to attract mates. Typically, 1.0 × 10−8gof a pheromone is sufficient to reach all targeted maleswithin a radius of 0.50 mi. Calculate the density of thepheromone (in grams per liter) in a cylindrical air spacehaving a radius of 0.50 mi and a height of 40 ft (volumeof a cylinder of radius r and height h is πr2h).
- Copper can be drawn into thin wires. How many meters of 34-gauge wire (diameter 6.304X10³in) can be producedfrom the copper in 5.01 lb of covellite, an ore of copper that is 66% copper by mass?An empty vial weighs 55.32 g. (a) If the vial weighs 185.56 gwhen filled with liquid mercury (d=13.53 g/cm³), what is itsvolume? (b) How much would the vial weigh if it were filledwith water (d=0.997 g/cm³ at 25C)?Water has a density of 0.997 g>cm3 at 25 °C; ice has a densityof 0.917 g>cm3 at -10 °C. (a) If a soft-drink bottle whose volumeis 1.50 L is completely filled with water and then frozento -10 °C, what volume does the ice occupy? (b) Can the icebe contained within the bottle?
- In the United States, water used for irrigation is measuredin acre-feet. An acre-foot of water covers an acre to a depthof exactly 1 ft. An acre is 4840 yd2. An acre-foot is enoughwater to supply two typical households for 1.00 yr. (a) If desalinatedwater costs $1950 per acre-foot, how much doesdesalinated water cost per liter? (b) How much would it costone household per day if it were the only source of water?In 2009, a team from Northwestern University and WesternWashington University reported the preparation of a new“spongy” material composed of nickel, molybdenum, andsulfur that excels at removing mercury from water. The densityof this new material is 0.20 g/cm3, and its surface area is1242 m2 per gram of material. (a) Calculate the volume of a10.0-mg sample of this material. (b) Calculate the surface area fora 10.0-mg sample of this material. (c) A 10.0-mL sample of contaminatedwater had 7.748 mg of mercury in it. After treatmentwith 10.0 mg of the new spongy material, 0.001 mg of mercuryremained in the contaminated water. What percentage of themercury was removed from the water? (d) What is the final massof the spongy material after the exposure to mercury?Silicon for computer chips is grown in large cylinders called“boules” that are 300 mm in diameter and 2 m in length, asshown. The density of silicon is 2.33 g>cm3. Silicon wafersfor making integrated circuits are sliced from a 2.0-m bouleand are typically 0.75 mm thick and 300 mm in diameter.(a) How many wafers can be cut from a single boule?
- (a) A sample of tetrachloroethylene, a liquid used in dry cleaningthat is being phased out because of its potential to cause cancer,has a mass of 40.55 g and a volume of 25.0 mL at 25 °C. Whatis its density at this temperature? Will tetrachloroethylene floaton water? (Materials that are less dense than water will float.)(b) Carbon dioxide (CO2) is a gas at room temperature andpressure. However, carbon dioxide can be put under pressure tobecome a “supercritical fluid” that is a much safer dry-cleaningagent than tetrachloroethylene. At a certain pressure, the densityof supercritical CO2 is 0.469 g/cm3. What is the mass of a25.0-mL sample of supercritical CO2 at this pressure?A cubic piece of metalmeasures 5.00 cm on each edge. If the metal is nickel, whosedensity is 8.90 g>cm3, what is the mass of the cube?Silicon for computer chips is grown in large cylinders called“boules” that are 300 mm in diameter and 2 m in length, asshown. The density of silicon is 2.33 g/cm3. Silicon wafersfor making integrated circuits are sliced from a 2.0-m bouleand are typically 0.75 mm thick and 300 mm in diameter.(a) How many wafers can be cut from a single boule?(b) What is the mass of a silicon wafer? (The volume of a cylinderis given by πr2h, where r is the radius and h is its height.)