Textbook Question
Carry out the following conversions. (c) 65.2 mg = _____ = g = _____ pg
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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry8th EditionChemistryISBN: 9781292336145
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Table of contents
- Ch.1 - Chemical Tools: Experimentation & Measurement143
- Ch.2 - Atoms, Molecules & Ions134
- Ch.3 - Mass Relationships in Chemical Reactions149
- Ch.4 - Reactions in Aqueous Solution157
- Ch.5 - Periodicity & Electronic Structure of Atoms92
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory73
- Ch.7 - Covalent Bonding and Electron-Dot Structures47
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure51
- Ch.9 - Thermochemistry: Chemical Energy104
- Ch.10 - Gases: Their Properties & Behavior138
- Ch.11 - Liquids & Phase Changes43
- Ch.12 - Solids and Solid-State Materials56
- Ch.13 - Solutions & Their Properties98
- Ch.14 - Chemical Kinetics79
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Aqueous Equilibria: Acids & Bases94
- Ch.17 - Applications of Aqueous Equilibria125
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium66
- Ch.19 - Electrochemistry130
- Ch.20 - Nuclear Chemistry73
- Ch.21 - Transition Elements and Coordination Chemistry122
- Ch.22 - The Main Group Elements155
- Ch.23 - Organic and Biological Chemistry43
Chapter 1, Problem 43
Which quantity in each of the following pairs is larger?(a) 5.63 * 106 cm or 6.02 * 101 km
Verified step by step guidance1
Convert both quantities to the same unit for comparison. In this case, convert kilometers to centimeters.
Recall that 1 kilometer (km) is equal to 100,000 centimeters (cm).
Convert 6.02 \(\times\) 10^1 km to centimeters by multiplying by 100,000 cm/km.
Calculate the value of 6.02 \(\times\) 10^1 km in centimeters.
Compare the two values: 5.63 \(\times\) 10^6 cm and the converted value of 6.02 \(\times\) 10^1 km in cm to determine which is larger.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is represented as a product of a number between 1 and 10 and a power of ten. For example, 5.63 * 10^6 means 5.63 multiplied by 1,000,000. Understanding this notation is essential for comparing large quantities.
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Standard Notation to Scientific Notation
Unit Conversion
Unit conversion involves changing a quantity expressed in one unit to another unit. In this question, we need to convert kilometers to centimeters to make a direct comparison. Since 1 kilometer equals 100,000 centimeters, converting 6.02 * 10^1 km to centimeters is crucial for determining which quantity is larger.
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Magnitude Comparison
Magnitude comparison refers to the process of determining which of two quantities is larger. This involves evaluating the numerical values and their respective units after any necessary conversions. By comparing the magnitudes of the two quantities in the same unit, we can accurately identify which one is larger.
Related Practice
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Complete the following equivalent expressions by filling in the blanks.(a) 1 km = ____ m(b) 1m = _____ km(c) 1 mmol = _____ mol(d) 1 mol = _____ mmol
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Which quantity in each of the following pairs is smaller?(c) 2.9 GA or 3.1 * 1015 mA
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Carry out the following conversions. (b) 8.5 cm^3 = _____ m^3 = _____ mm^3
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