Problem 53
How many significant figures do the following measured quantities have? (a) \(37.53 \mathrm{~cm}\) (d) \(0.00024 \mathrm{~kg}\) (b) \(37.240 \mathrm{~cm}\) (e) \(2400 \mathrm{~mL}\) (c) \(202.0 \mathrm{~g}\)
Problem 54
How many significant figures do the following measured quantities have? (a) \(0.0230 \mathrm{~g}\) (d) \(614.00 \mathrm{mg}\) (b) \(105.303 \mathrm{~m}\) (e) \(10 \mathrm{~L}\) (c) \(0.007 \mathrm{~kg}\)
Problem 55
Perform the following arithmetic and round off the answers to the correct number of significant figures. Include the correct units with the answers. (a) \(0.0023 \mathrm{~m} \times 315 \mathrm{~m}\) (b) \(84.25 \mathrm{~kg}-0.01075 \mathrm{~kg}\) (c) \((184.45 \mathrm{~g}-94.45 \mathrm{~g}) /(31.4 \mathrm{~mL}-9.9 \mathrm{~mL})\) (d) \((23.4 \mathrm{~g}+102.4 \mathrm{~g}+0.003 \mathrm{~g}) /(6.478 \mathrm{~mL})\) (e) \((313.44 \mathrm{~cm}-209.1 \mathrm{~cm}) \times 8.2234 \mathrm{~cm}\)
Problem 56
Perform the following arithmetic and round off the answers to the correct number of significant figures. Include the correct units with the answers. (a) \(3.58 \mathrm{~g} / 1.739 \mathrm{~mL}\) (b) \(4.02 \mathrm{~mL}+0.001 \mathrm{~mL}\) (c) \((22.4 \mathrm{~g}-8.3 \mathrm{~g}) /(1.142 \mathrm{~mL}-0.002 \mathrm{~mL})\) (d) \((1.345 \mathrm{~g}+0.022 \mathrm{~g}) /(13.36 \mathrm{~mL}-8.4115 \mathrm{~mL})\) (e) \((74.335 \mathrm{~m}-74.332 \mathrm{~m}) /(4.75 \mathrm{~s} \times 1.114 \mathrm{~s})\)
Problem 59
Perform the following conversions. (a) \(32.0 \mathrm{dm} / \mathrm{s}\) to \(\mathrm{km} / \mathrm{hr}\) (d) \(137.5 \mathrm{~mL}\) to \(\mathrm{L}\) (b) \(8.2 \mathrm{mg} / \mathrm{mL}\) to \(\mu \mathrm{g} / \mathrm{L}\) (e) \(0.025 \mathrm{~L}\) to \(\mathrm{mL}\) (c) \(75.3 \mathrm{mg}\) to \(\mathrm{kg}\) (f) \(342 \mathrm{pm}^{2}\) to \(\mathrm{dm}^{2}\)
Problem 63
Perform the following conversions. (a) \(8.4 \mathrm{ft}^{2}\) to \(\mathrm{cm}^{2}\) (c) \(231 \mathrm{ft}^{3}\) to \(\mathrm{cm}^{3}\) (b) \(223 \mathrm{mi}^{2}\) to \(\mathrm{km}^{2}\)
Problem 64
Perform the following conversions. (a) \(2.4 \mathrm{yd}^{2}\) to \(\mathrm{m}^{2}\) (c) \(9.1 \mathrm{ft}^{3}\) to \(\mathrm{L}\) (b) \(8.3 \mathrm{in} .^{2}\) to \(\mathrm{mm}^{2}\)
Problem 65
The human stomach can expand to hold up to 4.2 quarts of food. A pistachio nut has a volume of about \(0.9 \mathrm{~mL}\). Use this information to estimate the maximum number of pistachios that can be eaten in one sitting.
Problem 66
In the movie Cool Hand Luke (1967), Luke wagers that he can eat 50 eggs in one hour. The prisoners and guards bet against him, saying, "Fifty eggs gotta weigh a good six pounds. A man's gut can't hold that." A peeled, chewed chicken egg has a volume of approximately \(53 \mathrm{~mL}\). If Luke's stomach has a volume of 4.2 quarts, does he have any chance of winning the bet?
Problem 67
The winds in a hurricane can reach almost 200 miles per hour. What is this speed in meters per second? (Assume three significant figures.)
