Problem 51
Write the equality and conversion factors for each of the following: a. centimeters and meters b. milligrams and grams c. liters and milliliters d. deciliters and milliliters e. days in 1 week
Problem 52
Write the equality and conversion factors for each of the following: a. centimeters and inches b. pounds and kilograms c. pounds and grams d. quarts and liters e. dimes in 1 dollar
Problem 53
Write the conversion factors for each of the following statements: a. A bee flies at an average speed of \(3.5 \mathrm{~m}\) per second. b. The daily value for potassium is \(3500 \mathrm{mg}\). c. An automobile traveled \(46.0 \mathrm{~km}\) on \(1.0\) gal of gasoline. d. The label on a bottle reads \(50 \mathrm{mg}\) of Atenolol per tablet. e. The pesticide level in plums was 29 ppb. f. A low-dose aspirin contains \(81 \mathrm{mg}\) of aspirin per tablet.
Problem 57
Use metric conversion factors to solve each of the following problems: a. The height of a student is \(175 \mathrm{~cm}\). How tall is the student in meters? b. A cooler has a volume of \(5500 \mathrm{~mL}\). What is the capacity of the cooler in liters? c. A Bee Hummingbird has a mass of \(0.0018 \mathrm{~kg}\). What is the mass of the hummingbird in grams?
Problem 58
Use metric conversion factors to solve each of the following problems: a. The daily value of phosphorus is \(800 \mathrm{mg}\). How many grams of phosphorus are recommended? b. A glass of orange juice contains \(0.85 \mathrm{dL}\) of juice. How many milliliters of orange juice is that? c. A package of chocolate instant pudding contains \(2840 \mathrm{mg}\) of sodium. How many grams of sodium is that?
Problem 60
Solve each of the following problems using one or more conversion factors: a. You need \(4.0\) ounces of a steroid ointment. If there are \(16 \mathrm{oz}\) in \(1 \mathrm{lb}\), how many grams of ointment does the pharmacist need to prepare? b. During surgery, a patient receives \(5.0\) pints of plasma. How many milliliters of plasma were given? \((1\) quart \(=2\) pints \()\) c. Wine is \(12 \%\) (by volume) alcohol. How many milliliters of alcohol are in a \(0.750 \mathrm{~L}\) bottle of wine? d. Blueberry high-fiber muffins contain \(51 \%\) dietary fiber. If a package with a net weight of 12 oz contains six muffins, how many grams of fiber are in each muffin? e. A jar of crunchy peanut butter contains \(1.43 \mathrm{~kg}\) of peanut butter. If you use \(8.0 \%\) of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container?
Problem 61
Using conversion factors, solve each of the following clinical problems: a. You have used 250 L of distilled water for a dialysis patient. How many gallons of water is that? b. A patient needs \(0.024 \mathrm{~g}\) of a sulfa drug. There are \(8-\mathrm{mg}\) tablets in stock. How many tablets should be given? c. The daily dose of ampicillin for the treatment of an ear infection is \(115 \mathrm{mg} / \mathrm{kg}\) of body weight. What is the daily dose for a 34-lb child?
Problem 62
Using conversion factors, solve each of the following clinical problems: a. The physician has ordered \(1.0 \mathrm{~g}\) of tetracycline to be given every 6 hours to a patient. If your stock on hand is 500 -mg tablets, how many will you need for 1 day's treatment? b. An intramuscular medication is given at \(5.00 \mathrm{mg} / \mathrm{kg}\) of body weight. If you give \(425 \mathrm{mg}\) of medication to a patient, what is the patient's weight in pounds? c. A physician has ordered \(0.50 \mathrm{mg}\) of atropine, intramuscularly. If atropine were available as \(0.10 \mathrm{mg} / \mathrm{mL}\) of solution, how many milliliters would you need to give?
Problem 64
Suppose you have two \(100-\mathrm{mL}\) graduated cylinders. In each cylinder there is \(40.0 \mathrm{~mL}\) of water. You also have two cubes: One is lead, and the other is aluminum. Each cube measures \(2.0 \mathrm{~cm}\) on each side. After you carefully lower each cube into the water of its own cylinder, what will the new water level be in each of the cylinders?
Problem 65
What is the density (g/mL) of each of the following samples? a. A 20.0-mL sample of a salt solution that has a mass of \(24.0 \mathrm{~g}\). b. A solid object with a mass of \(1.65 \mathrm{lb}\) and a volume of \(170 \mathrm{~mL} .\) c. A gem has a mass of \(45.0 \mathrm{~g}\). When the gem is placed in a graduated cylinder containing \(20.0 \mathrm{~mL}\) of water, the water level rises to \(34.5 \mathrm{~mL}\). d. A lightweight head on the driver of a golf club is made of titanium. If the volume of a sample of titanium is \(114 \mathrm{~cm}^{3}\) and the mass is \(514.1 \mathrm{~g}\), what is the density of titanium?
