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The height of Mt. Kilimanjaro, at 19,565 ft the highest mountain in Africa, to kilometers (c) the area of an 8.5 t 11-inch sheet of paper in cm^2 (d) the displacement volume of an automobile engine, 161 in.^3 , to liters (e) the estimated mass of the atmosphere, 5.6 t 10^15 tons, to kilograms (f) the mass of a bushel of rye, 32.0 lb, to kilograms (g) the mass of a 5.00-grain aspirin tablet to milligrams (1 grain = 0.00229 oz) Many chemistry conferences have held a 50-Trillion Angstrom Run (two significant figures). How long is this run in kilometers and in miles? (1 A = 1 times 10^-10 m) A chemist’s 50-Trillion Angstrom Run (see Exercise 1.78) would be an archeologist’s 10,900 cubit run. How long is one cubit in meters and in feet? (1 A = 1 times 10^-8 cm) The gas tank of a certain luxury automobile holds 22.3 gallons according to the owner’s manual. If the density of gasoline is 0.8206 g/mL, determine the mass in kilograms and pounds of the fuel in a full tank. As an instructor is preparing for an experiment, he requires 225 g phosphoric acid. The only container readily available is a 150-mL Erlenmeyer flask. Is it large enough to contain the acid, whose density is 1.83 g/mL? To prepare for a laboratory period, a student lab assistant needs 125 g of a compound. A bottle containing 1/4 lb is available. Did the student have enough of the compound? A chemistry student is 159 cm tall and weighs 45.8 kg. What is her height in inches and weight in pounds? In a recent Grand Prix, the winner completed the race with an average speed of 229.8 km/h. What was his speed in miles per hour, meters per second, and feet per second? Solve these problems about lumber dimensions. a) To describe to a European how houses are constructed in the US, the dimensions of “two-by-four” lumber must be converted into metric units. The thickness times width times length dimensions are 1.50 in. times 3.50 in. times 8.00 ft in the US. What are the dimensions in cm times cm times m?
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