Textbook Question
The warmest temperature ever measured in the United States is 134 °F, recorded on July 10, 1913, in Death Valley, California. Convert that temperature to °C and K.
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Ch.1 - Matter, Measurement & Problem Solving
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831
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Table of contents
- Ch.1 - Matter, Measurement & Problem Solving136
- Ch.2 - Atoms & Elements112
- Ch.3 - Molecules, Compounds & Chemical Equations159
- Ch.4 - Chemical Quantities & Aqueous Reactions140
- Ch.5 - Gases118
- Ch.6 - Thermochemistry106
- Ch.7 - Quantum-Mechanical Model of the Atom62
- Ch.8 - Periodic Properties of the Elements103
- Ch.9 - Chemical Bonding I: The Lewis Model104
- Ch.10 - Chemical Bonding II: Molecular Shapes & Valence Bond Theory89
- Ch.11 - Liquids, Solids & Intermolecular Forces73
- Ch.12 - Solids and Modern Material59
- Ch.13 - Solutions110
- Ch.14 - Chemical Kinetics140
- Ch.15 - Chemical Equilibrium78
- Ch.16 - Acids and Bases155
- Ch.17 - Aqueous Ionic Equilibrium176
- Ch.18 - Free Energy and Thermodynamics108
- Ch.19 - Electrochemistry118
- Ch.20 - Radioactivity and Nuclear Chemistry82
- Ch.21 - Organic Chemistry150
Chapter 1, Problem 55d
Use the prefix multipliers to express each measurement without exponents. d. 3.5×106 L
Verified step by step guidance1
Identify the prefix multiplier that corresponds to the exponent in the measurement. In this case, the exponent is 6, which corresponds to the prefix 'mega' (M), meaning 10^6.
Rewrite the measurement using the identified prefix. Replace 10^6 with the prefix 'M'.
Express the measurement as 3.5 ML, where 'M' stands for 'mega'.
Ensure that the unit 'L' (liters) is correctly associated with the prefix 'M'.
Verify that the conversion is correct by checking that 3.5 ML is equivalent to 3.5 * 10^6 L.
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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 typically formatted as a product of a number between 1 and 10 and a power of ten. For example, 3.5 * 10^6 means 3.5 multiplied by 1,000,000, which equals 3,500,000.
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Standard Notation to Scientific Notation
Metric Prefixes
Metric prefixes are used to denote specific powers of ten in the metric system, allowing for easier communication of measurements. Common prefixes include 'kilo-' (10^3), 'mega-' (10^6), and 'giga-' (10^9). In the case of 3.5 * 10^6 L, the appropriate prefix is 'mega-', so it can be expressed as 3.5 ML.
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Unit Conversion
Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In this context, converting from liters to megaliters requires understanding the relationship between the units, specifically that 1 ML equals 1,000 L. This conversion is essential for expressing large quantities in a more manageable form.
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Related Practice
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