Textbook Question
Perform the following conversions: (d) 0.510 in./ms to km/hr
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement140
- Ch.2 - Atoms, Molecules, and Ions192
- Ch.3 - Chemical Reactions and Reaction Stoichiometry172
- Ch.4 - Reactions in Aqueous Solution156
- Ch.5 - Thermochemistry151
- Ch.6 - Electronic Structure of Atoms137
- Ch.7 - Periodic Properties of the Elements127
- Ch.8 - Basic Concepts of Chemical Bonding143
- Ch.9 - Molecular Geometry and Bonding Theories167
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces97
- Ch.12 - Solids and Modern Materials129
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics175
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Acid-Base Equilibria127
- Ch.17 - Additional Aspects of Aqueous Equilibria133
- Ch.18 - Chemistry of the Environment88
- Ch.19 - Chemical Thermodynamics140
- Ch.20 - Electrochemistry137
- Ch.21 - Nuclear Chemistry99
- Ch.22 - Chemistry of the Nonmetals66
- Ch.23 - Transition Metals and Coordination Chemistry69
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry11
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 1, Problem 56d
(d) An individual suffering from a high cholesterol level in her blood has 242 mg of cholesterol per 100 mL of blood. If the total blood volume of the individual is 5.2 L, how many grams of total blood cholesterol does the individual's body contain?
Verified step by step guidance1
Convert the total blood volume from liters to milliliters. Since 1 L = 1000 mL, multiply 5.2 L by 1000 to get the volume in mL.
Use the given concentration of cholesterol, which is 242 mg per 100 mL of blood, to set up a proportion to find the total mass of cholesterol in the entire blood volume.
Calculate the total mass of cholesterol in milligrams by multiplying the concentration (242 mg/100 mL) by the total blood volume in mL.
Convert the total mass of cholesterol from milligrams to grams. Since 1 g = 1000 mg, divide the total mass in mg by 1000.
The result from the previous step gives the total grams of cholesterol in the individual's body.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Concentration Units
Concentration is a measure of the amount of a substance in a given volume of solution. In this case, cholesterol concentration is given in mg per 100 mL, which indicates how many milligrams of cholesterol are present in every 100 milliliters of blood. Understanding this unit is crucial for converting the concentration to total mass in grams.
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Volume Conversion
To solve the problem, it is essential to convert the total blood volume from liters to milliliters, as the concentration of cholesterol is provided in mg per 100 mL. Since 1 liter equals 1000 mL, the total blood volume of 5.2 L can be converted to 5200 mL, allowing for accurate calculations of total cholesterol.
Mass Calculation
Once the concentration and total volume are known, the total mass of cholesterol can be calculated using the formula: total mass = concentration × volume. This involves multiplying the concentration of cholesterol (in mg) by the total volume of blood (in mL) and then converting the result from milligrams to grams, as there are 1000 mg in a gram.
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