Textbook Question
(c) If an automobile is able to travel 400 km on 47.3 L of gasoline, what is the gas mileage in miles per gallon?
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement111
- Ch.2 - Atoms, Molecules, and Ions166
- Ch.3 - Chemical Reactions and Reaction Stoichiometry138
- Ch.4 - Reactions in Aqueous Solution127
- Ch.5 - Thermochemistry104
- Ch.6 - Electronic Structure of Atoms109
- Ch.7 - Periodic Properties of the Elements107
- Ch.8 - Basic Concepts of Chemical Bonding102
- Ch.9 - Molecular Geometry and Bonding Theories120
- Ch.10 - Gases122
- Ch.11 - Liquids and Intermolecular Forces79
- Ch.12 - Solids and Modern Materials102
- Ch.13 - Properties of Solutions99
- Ch.14 - Chemical Kinetics153
- Ch.15 - Chemical Equilibrium83
- Ch.16 - Acid-Base Equilibria109
- Ch.17 - Additional Aspects of Aqueous Equilibria117
- Ch.18 - Chemistry of the Environment60
- Ch.19 - Chemical Thermodynamics109
- Ch.20 - Electrochemistry113
- Ch.21 - Nuclear Chemistry79
- Ch.22 - Chemistry of the Nonmetals52
- Ch.23 - Transition Metals and Coordination Chemistry57
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry7
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook
Chapter 1, Problem 61b
(b) The recommended adult dose of Elixophyllin®, a drug used to treat asthma, is 6 mg/kg of body mass. Calculate the dose in milligrams for a 185-lb person.
Verified step by step guidance1
Convert the body mass from pounds to kilograms using the conversion factor: 1 lb = 0.453592 kg.
Calculate the body mass in kilograms by multiplying 185 lb by the conversion factor.
Use the recommended dose of 6 mg/kg to calculate the total dose in milligrams.
Multiply the body mass in kilograms by the dose per kilogram to find the total dose in milligrams.
Ensure the units are consistent and check the calculation for accuracy.
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it is essential to convert the person's weight from pounds to kilograms, as the drug dosage is given in mg/kg. The conversion factor is 1 kg = 2.20462 lbs, which allows for accurate dosage calculations based on body mass.
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01:56
Conversion Factors
Dosage Calculation
Dosage calculation involves determining the appropriate amount of medication based on a person's weight and the recommended dosage per unit of weight. In this case, the dosage is specified as 6 mg for every kilogram of body mass. By multiplying the converted weight in kilograms by the dosage per kilogram, one can find the total dose in milligrams.
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02:28Stoichiometric Rate Calculations
Body Mass Measurement
Body mass measurement is crucial in pharmacology as it directly influences drug dosing. Accurate measurement ensures that the medication is effective and minimizes the risk of overdose or underdose. In this scenario, understanding how to measure and convert body mass is vital for calculating the correct dosage of Elixophyllin® for the individual.
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02:52Units of Radiation Measurement
Related Practice
Textbook Question
(d) In March 1989, the Exxon Valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of Alaska. One barrel of petroleum is equal to 42 gal. How many liters of petroleum were spilled?
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Textbook Question
(a) How many liters of wine can be held in a wine barrel whose capacity is 31 gal?
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Textbook Question
Carry out the following conversions: (e) \$3.99/lb to dollars per kg
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Textbook Question
(d) When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many kg of coffee are required to produce 200 cups of coffee?
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Textbook Question
Carry out the following conversions: (d) 1.955 m3 to yd3
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