Problem 66
What is the density \((\mathrm{g} / \mathrm{mL})\) of each of the following samples? a. A medication, if \(3.00 \mathrm{~mL}\) has a mass of \(3.85 \mathrm{~g}\). b. The fluid in a car battery, if it has a volume of \(125 \mathrm{~mL}\) and a mass of \(155 \mathrm{~g}\). c. A \(5.00-\mathrm{mL}\) urine sample from a patient suffering from symptoms resembling those of diabetes mellitus. The mass of the urine sample is \(5.025 \mathrm{~g}\). d. A syrup is added to an empty container with a mass of \(115.25 \mathrm{~g}\). When \(0.100\) pint of syrup is added, the total mass of the container and syrup is \(182.48 \mathrm{~g}\). \((1 \mathrm{qt}=2 \mathrm{pt})\)
Problem 67
Use the density value to solve the following problems: a. What is the mass, in grams, of \(150 \mathrm{~mL}\) of a liquid with a density of \(1.4 \mathrm{~g} / \mathrm{mL}\) ? b. What is the mass of a glucose solution that fills a \(0.500\) -L intravenous bottle if the density of the glucose solution is \(1.15 \mathrm{~g} / \mathrm{mL} ?\) c. A sculptor has prepared a mold for casting a bronze figure. The figure has a volume of \(225 \mathrm{~mL}\). If bronze has a density of \(7.8 \mathrm{~g} / \mathrm{mL}\), how many ounces of bronze are needed in the preparation of the bronze figure?
Problem 68
Use the density value to solve the following problems: a. A graduated cylinder contains \(18.0 \mathrm{~mL}\) of water. What is the new water level after \(35.6 \mathrm{~g}\) of silver metal with a density of \(10.5 \mathrm{~g} / \mathrm{mL}\) is submerged in the water? b. A thermometer containing \(8.3 \mathrm{~g}\) of mercury has broken. If mercury has a density of \(13.6 \mathrm{~g} / \mathrm{mL}\), what volume spilled? c. A fish tank holds 35 gal of water. Using the density of \(1.00 \mathrm{~g} / \mathrm{mL}\) for water, determine the number of pounds of water in the fish tank.
Problem 69
Which of the following will help you develop a successful study plan? a. Skip lecture and just read the text. b. Work the Sample Problems as you go through a chapter. c. Go to your professor's office hours. d. Read through the chapter, but work the problems later.
Problem 70
Which of the following will help you develop a successful study plan? a. Study all night before the exam. b. Form a study group and discuss the problems together. c. Work problems in a notebook for easy reference. d. Copy the answers to homework from a friend.
Problem 71
In which of the following pairs do both numbers contain the same number of significant figures? a. \(2.0500 \mathrm{~m}\) and \(0.0205 \mathrm{~m}\) b. \(600.0 \mathrm{~K}\) and \(60 \mathrm{~K}\) c. \(0.00075 \mathrm{~s}\) and \(75000 \mathrm{~s}\) d. \(6.240 \mathrm{~L}\) and \(6.240 \times 10^{-2} \mathrm{~L}\)
Problem 72
In which of the following pairs do both numbers contain the same number of significant figures? a. \(3.44 \times 10^{-3} \mathrm{~g}\) and \(0.0344 \mathrm{~g}\) b. \(0.0098 \mathrm{~s}\) and \(9.8 \times 10^{4} \mathrm{~s}\) c. \(6.8 \times 10^{3} \mathrm{~mm}\) and \(68000 \mathrm{~m}\) d. \(258.000 \mathrm{ng}\) and \(2.58 \times 10^{-2} \mathrm{~g}\)
Problem 73
Indicate if each of the following is answered with an exact number or a measured number: a. number of legs b. height of table c. number of chairs at the table d. area of tabletop
Problem 79
Round off or add zeros to the following calculated answers to give a final answer with three significant figures: a. \(0.00001258 \mathrm{~L}\) b. \(3.528 \times 10^{2} \mathrm{~kg}\) c. \(125111 \mathrm{~m}\) d. \(58.703 \mathrm{~g}\) e. \(3 \times 10^{-3} \mathrm{~s}\) f. \(0.010826 \mathrm{~g}\)
Problem 80
What is the total mass, in grams, of a dessert containing \(137.25 \mathrm{~g}\) of vanilla ice cream, \(84 \mathrm{~g}\) of fudge sauce, and \(43.7 \mathrm{~g}\) of nuts?