Chapter 1

Soccer is played with a round ball having a circumference between 27 and 28 in. and a weight between 14 and 16 oz. What are these specifications in units of centimeters and grams?

A woman's basketball has a circumference between 28.5 and 29.0 inches and a maximum weight of 20 ounces (two significant figures). What are these specifications in units of centimetres and grams?

The diameter of a red blood cell is about \(3 \times 10^{-4}\) in. What is its diameter in centimetres?

The distance between the centers of the two oxygen atoms in an oxygen molecule is \(1.21 \times 10^{-8} \mathrm{cm}\). What is this distance in inches?

A very good 197-lb weight lifter lifted 192 kg in a move called the clean and jerk. What was the mass of the weight lifted in pounds?

If an aspirin tablet contains 325 mg aspirin, how many grams of aspirin does it contain?

Complete the following conversions between SI units. (a) \(612 \mathrm{g}=\) _________ \(\mathrm{mg}\) (b) \(8.160 \mathrm{m}=\) _________ \(\mathrm{cm}\) (c) \(3779 \mu g=\) __________ \(\mathrm{g}\) (d) \(781 \mathrm{mL}=\) __________ \(\mathrm{L}\) (e) \(4.18 \mathrm{kg}=\) _________ \(\mathrm{g}\) (f) \(27.8 \mathrm{m}=\) _________ \(\mathrm{km}\) (g) \(0.13 \mathrm{mL}=\) ________ \(\mathbf{I}\) (h) \(1738 \mathrm{km}=\) _________ \(\mathrm{m}\) (i) \(1.9 \mathrm{Gg}=\) __________ \(\mathrm{g}\)

A long ton is defined as exactly 2240 lb. What is this mass in kilograms?

Make the conversion indicated in each of the following: (a) the men's world record long jump, 29 ft \(4 \%\) in., to meters (b) the greatest depth of the ocean, about \(6.5 \mathrm{mi}\), to kilometers (c) the area of the state of Oregon, \(96,981 \mathrm{mi}^{2}\), to square kilometers (d) the volume of 1 gill (exactly 4 oz) to milliliters (e) the estimated volume of the oceans, \(330,000,000 \mathrm{mi}^{3},\) to cubic kilometers. (f) the mass of a 3525 -lb car to kilograms (g) the mass of a 2.3 -oz egg to grams

77\. Make the conversion indicated in each of the following: (a) the length of a soccer field, \(120 \mathrm{m}\) (three significant figures), to feet (b) the height of Mt. Kilimanjaro, at 19,565 ft, the highest mountain in Africa, to kilometers (c) the area of an 8.5- \(\times 11\) -inch sheet of paper in \(\mathrm{cm}^{2}\) (d) the displacement volume of an automobile engine, 161 in. \(^{3}\), to liters (e) the estimated mass of the atmosphere, \(5.6 \times 10^{15}\) 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)

78\. Many chemistry conferences have held a 50-Trillion Angstrom Run (two significant figures). How long is this run in kilometers and in miles? $$\left(1 Å=1 \times 10^{-10} \mathrm{m}\right)$$

The gas tank of a certain luxury automobile holds 22.3 gallons according to the owner's manual. If the density of gasoline is \(0.8206 \mathrm{g} / \mathrm{mL}\), 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?

A chemistry student is 159 cm tall and weighs 45.8 kg. What is her height in inches and weight in pounds?

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. \(\times 8.00 \mathrm{ft}\) in the US. What are the dimensions in \(\mathrm{cm} \times \mathrm{cm} \times \mathrm{m} ?\) (b) This lumber can be used as vertical studs, which are typically placed 16.0 in. apart. What is that distance in centimetres?

Calculate the density of aluminum if \(27.6 \mathrm{cm}^{3}\) has a mass of \(74.6 \mathrm{g}\).

Osmium is one of the densest elements known. What is its density if 2.72 g has a volume of \(0.121 \mathrm{cm}^{3} ?\)

Calculate these masses. (a) What is the mass of \(6.00 \mathrm{cm}^{3}\) of mercury, density \(=13.5939 \mathrm{g} / \mathrm{cm}^{3} ?\) (b) What is the mass of \(25.0 \mathrm{mL}\) octane, density \(=0.702 \mathrm{g} / \mathrm{cm}^{3} ?\)

Calculate these masses. (a) What is the mass of \(4.00 \mathrm{cm}^{3}\) of sodium, density \(=0.97 \mathrm{g} / \mathrm{cm}^{3} ?\) (b) What is the mass of 125 mL gaseous chlorine, density \(=3.16\) g/L?

Calculate these volumes. (a) What is the volume of \(25 \mathrm{g}\) iodine, density \(=4.93 \mathrm{g} / \mathrm{cm}^{3} ?\) (b) What is the volume of 3.28 g gaseous hydrogen, density \(=0.089 \mathrm{g} / \mathrm{L}\) ?

Calculate these volumes. (a) What is the volume of 11.3 g graphite, density \(=2.25 \mathrm{g} / \mathrm{cm}^{3} ?\) (b) What is the volume of 39.657 g bromine, density \(=2.928 \mathrm{g} / \mathrm{cm}^{3} ?\)

Convert the boiling temperature of gold, \(2966^{\circ} \mathrm{C}\), into degrees Fahrenheit and kelvin.

Convert the temperature of scalding water, \(54^{\circ} \mathrm{C}\), into degrees Fahrenheit and kelvin.

Convert the temperature of the coldest area in a freezer, \(-10^{\circ} \mathrm{F}\), to degrees Celsius and kelvin.

Convert the temperature of dry ice, \(-77^{\circ} \mathrm{C},\) into degrees Fahrenheit and kelvin.

Convert the boiling temperature of liquid ammonia, -28.1 ^ ^ F, into degrees Celsius and kelvin.

The label on a pressurized can of spray disinfectant warns against heating the can above \(130^{\circ} \mathrm{F}\). What are the corresponding temperatures on the Celsius and kelvin temperature scales?

The weather in Europe was unusually warm during the summer of \(1995 .\) The TV news reported temperatures as high as \(45^{\circ} \mathrm{C} .\) What was the temperature on the Fahrenheit scale?