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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?Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792X10⁸m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2003, the United States had 50 states.Perform each of the following conversions. (a) 8.43 cm to millimeters (b) 2.41 x 10 cm to meters (c) 294.5 nm to centimeters (d) 1.445 x 10* m to kilometers (e) 235.3 m to millimeters (f) 903.3 nm to micrometers (a) How many kilograms are in 1 teragram? (b) How many nanometers are in 6.50 x 10² terameters? (c) How many kilograms are in 25 femtograms? (d) How many liters are in 8.0 cubic decimeters? (e) How many microliters are in 1 milliliter? (f) How many picograms are in 1 microgram? The density of Venus is similor to that of Farth The mass of Vlenu
- Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792×108 m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2010, the United States had 50 states.(a) How many picometers are there in 1 m? (b) Express6.0 * 103 m using a prefix to replace the power of ten.(c) Use exponential notation to express 4.22 mg in grams.(d) Use decimal notation to express 4.22 mg in grams.Express the results of the following multiplications and divisions to the proper number of significant figures. All of the numbers are measured quantities. (a) 129.587 × 32.33 = 4.7791 (b) 3.21 × 5.793 10566.9 (c) 3.584 × 1029 (d) (5.247 × 10'3) × (1.3 × 10-17) =
- Carry out the following conversions. Report your answers to the correct number of significant figures. (a) 37 mm to m (b) 357 kg to g (c) 77.00 mL to L (d) 0.0084650 m to cm (f) 36.7 in to cm (g) 162 lb to g (h) 911 qt to L (i) 44.2 cm to in (j) 236.4 g to lb (k) 4.0 L to qt(a) Three spheres of equal size are composed of aluminum(density = 2.70 g/cm3), silver (1density = 10.49 g/cm3),and nickel (density = 8.90 g/cm3). List the spheres fromlightest to heaviest. (b) Three cubes of equal mass arecomposed of gold (density = 19.32 g/cm3), plat inum(density = 21.45 g/cm3), and lead(density = 11.35 g/cm3).List the cubes from smallest to largest.How many significant figures are there in each of the following measurements? (a) 4.380 x 10-8 m = (b) 9.100 x 10 4 cm = (c) 5.10 x 10-7 m =
- The volume of a certain bacterial cell is 2.56 m³. (a) What is its volume in cubic millimeters (mm³)? (b) What is the volumeof 10⁵cells in liters (L)?The volume of a certain bacterial cell is 2.56 mm3. (a) What is its volume in cubic millimeters (mm3)? (b) What is the volume of 105 cells in liters (L)?Which is larger in each pair, and by approximately how much? (a) A liter or a quart (b) A mile or a kilometer (c) A gram or an ounce(d) A centimeter or an inch