The population density of worms in a particular field is 35 worms per cubic meter of soil. How many worms would there be in the top meter of soil in a field that has dimensions of
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- 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?To identify a liquid substance, a student determined itsdensity. Using a graduated cylinder, she measured out a 45-mLsample of the substance. She then measured the mass of thesample, finding that it weighed 38.5 g. She knew that the substancehad to be either isopropyl alcohol 1density 0.785 g>mL2or toluene 1density 0.866 g>mL2. What are the calculated densityand the probable identity of the substance?To aid in the prevention of tooth decay, it is recommended that drinking water contain 0.900 ppm fluoride, F−. How many grams of F− must be added to a cylindrical water reservoir having a diameter of 4.12×10^2 m and a depth of 76.72 m?
- After the label fell off a bottle containing a clear liquid believedto be benzene, a chemist measured the density of theliquid to verify its identity. A 25.0-mL portion of the liquidhad a mass of 21.95 g. A chemistry handbook lists the densityof benzene at 15 °C as 0.8787 g>mL. Is the calculated densityin agreement with the tabulated value?(a) After the label fell off a bottle containing a clear liquid believedto be benzene, a chemist measured the density of theliquid to verify its identity. A 25.0-mL portion of the liquidhad a mass of 21.95 g. A chemistry handbook lists the densityof benzene at 15 °C as 0.8787 g/mL. Is the calculated densityin agreement with the tabulated value? (b) An experimentrequires 15.0 g of cyclohexane, whose density at 25 °C is0.7781 g/mL. What volume of cyclohexane should be used?(c) A spherical ball of lead has a diameter of 5.0 cm. What isthe mass of the sphere if lead has a density of 11.34 g/cm3?(The volume of a sphere is 14>32πr3, where r is the radius.)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?
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- (a) If an electric car is capable of going 225 km on a singlecharge, how many charges will it need to travel from Seattle,Washington, to San Diego, California, a distance of 1257 mi,assuming that the trip begins with a full charge? (b) If amigrating loon flies at an average speed of 14 m/s, what is itsaverage speed in mi/hr? (c) What is the engine piston displacementin liters of an engine whose displacement is listedas 450 in.3? (d) In March 1989, the Exxon Valdez ran agroundand spilled 240,000 barrels of crude petroleum off the coastof Alaska. One barrel of petroleum is equal to 42 gal. Howmany liters of petroleum were spilled?The density of air at ordinary atmospheric pressure and25 °C is 1.19 g>L. What is the mass, in kilograms, of the air ina room that measures 14.5 ft * 16.5 ft * 8.0 ft?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.)