Kilogram and Density
CHAPTER 1
1.
List the seven SI base quantities, units, and symbols.
TIME Second (s)
2.
Give the correct SI derived units of the following quantities. Density Speed Acceleration Force Pressure kg/m3
Energy
3.
Convert the following: μm (Ans. 1.22)
a. 1.22 x 10-9 km = b. 6.523 x 10-4 nm = c. 2.5x 10-9 nm3 = d. 30.5 cm/s = e. 9.6 ng/mm2 =
4.
Mm (Ans. 6.523 x 10-19) mm3 (Ans. 2.5 x 10-27) km/h (Ans. 1.09 x 106) kg/m2 (Ans. 9.6 x 10-6)
Perform the following calculations and report each answer with the correct number of significant figures and units. b. 2.457 m x 1.2 m x 2.45 m d. 3.6050 cm x (24.10 cm - 23.10 cm)
a. 3.45 m – 3.4 m c. (50.214 g – 49.93 g) x 1.224 cm / 55.22 cm3 e. 4.0 x 102 cm – 3 cm
f.
2.7612g 2.7601g
2.20cm 3
g 26.167m 83m
5.100m
h.
12.64 cm – 48 mm + 0.246 m (answer in meters) 7.87 g/m2 (16.1 m – 8.44 m)
i.
Ans. a) 0.1 m; b) 7.2 m3; c) 6.3 x 10-3 g/cm2; d) 3.61 cm2; e) 4.0 x 102 cm; f) 5.0 x 10-4 g/cm3; g) 21.4 g/m3; h) 0.324 m ; i) 1.03 g/cm3
5.
The element beryllium is considered toxic at a concentration of 3.0 x 10-12 g/cm3. What is this concentration in ng/m3? (Ans. 3.0 x 103)
6.
The average density of the earth is 5.52 g/cm 3. What is its density in: a) μg/mm3? (Ans. 5.52 x 103) b) lb/ft3? (1 lb = 453.6 g; 1 in = 2.54 cm) (Ans. 345)
7.
Diamond has a density of 3.513 g/cm3. The mass of diamonds is often measured in “carats” where 1 carat = 200 mg. What is the volume (in cm 3) of a 2.5 carat diamond? (Ans. 0.14) The density of a liquid alcohol is 0.79 g/cm 3. A tank measuring 3.2 m x 0.0020 km x 4.1 mm is filled with the alcohol. What is the mass of the contents in kg? (Ans. 21) The density of gold is 19.3 g/ cm 3. A 3.4 mg sample of gold is hammered into a square foil that is 8.6 × 10−6 cm thick. What is the length of a side of the square, in cm? (Ans. 4.5) A 14-karat gold ring contains 58.3% gold and weighs 12.41 g. If gold sells for $276.00/ounce, what is the value of
1.
List the seven SI base quantities, units, and symbols.
TIME Second (s)
2.
Give the correct SI derived units of the following quantities. Density Speed Acceleration Force Pressure kg/m3
Energy
3.
Convert the following: μm (Ans. 1.22)
a. 1.22 x 10-9 km = b. 6.523 x 10-4 nm = c. 2.5x 10-9 nm3 = d. 30.5 cm/s = e. 9.6 ng/mm2 =
4.
Mm (Ans. 6.523 x 10-19) mm3 (Ans. 2.5 x 10-27) km/h (Ans. 1.09 x 106) kg/m2 (Ans. 9.6 x 10-6)
Perform the following calculations and report each answer with the correct number of significant figures and units. b. 2.457 m x 1.2 m x 2.45 m d. 3.6050 cm x (24.10 cm - 23.10 cm)
a. 3.45 m – 3.4 m c. (50.214 g – 49.93 g) x 1.224 cm / 55.22 cm3 e. 4.0 x 102 cm – 3 cm
f.
2.7612g 2.7601g
2.20cm 3
g 26.167m 83m
5.100m
h.
12.64 cm – 48 mm + 0.246 m (answer in meters) 7.87 g/m2 (16.1 m – 8.44 m)
i.
Ans. a) 0.1 m; b) 7.2 m3; c) 6.3 x 10-3 g/cm2; d) 3.61 cm2; e) 4.0 x 102 cm; f) 5.0 x 10-4 g/cm3; g) 21.4 g/m3; h) 0.324 m ; i) 1.03 g/cm3
5.
The element beryllium is considered toxic at a concentration of 3.0 x 10-12 g/cm3. What is this concentration in ng/m3? (Ans. 3.0 x 103)
6.
The average density of the earth is 5.52 g/cm 3. What is its density in: a) μg/mm3? (Ans. 5.52 x 103) b) lb/ft3? (1 lb = 453.6 g; 1 in = 2.54 cm) (Ans. 345)
7.
Diamond has a density of 3.513 g/cm3. The mass of diamonds is often measured in “carats” where 1 carat = 200 mg. What is the volume (in cm 3) of a 2.5 carat diamond? (Ans. 0.14) The density of a liquid alcohol is 0.79 g/cm 3. A tank measuring 3.2 m x 0.0020 km x 4.1 mm is filled with the alcohol. What is the mass of the contents in kg? (Ans. 21) The density of gold is 19.3 g/ cm 3. A 3.4 mg sample of gold is hammered into a square foil that is 8.6 × 10−6 cm thick. What is the length of a side of the square, in cm? (Ans. 4.5) A 14-karat gold ring contains 58.3% gold and weighs 12.41 g. If gold sells for $276.00/ounce, what is the value of