Textbook Question
What is the density of glass in g/cm3 if a sample weighing 27.43 g has a volume of 12.40 cm3?
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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 64
What is the volume in L of a cube with an edge length of 7.0 dm?
Verified step by step guidance1
Identify the formula for the volume of a cube: \( V = a^3 \), where \( a \) is the edge length.
Convert the edge length from decimeters to meters if necessary. In this case, 7.0 dm is equivalent to 0.7 m.
Substitute the edge length into the volume formula: \( V = (7.0 \text{ dm})^3 \).
Calculate the cube of the edge length: \( 7.0^3 \).
The result will give you the volume in cubic decimeters (dm³), which is equivalent to liters (L) since 1 dm³ = 1 L.
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Volume of a Cube
The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one edge. This formula arises from the fact that a cube has equal dimensions in all three spatial directions, allowing for straightforward multiplication of the edge length by itself three times.
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02:35
Constant-Volume Calorimetry
Unit Conversion
In this question, the edge length is given in decimeters (dm), and the volume needs to be expressed in liters (L). Understanding unit conversion is essential, as 1 dm³ is equivalent to 1 L. Therefore, converting the volume from cubic decimeters to liters requires recognizing this relationship.
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01:56Conversion Factors
Cubic Measurements
Cubic measurements refer to the volume of three-dimensional objects, typically expressed in cubic units. When calculating the volume of a cube, the result is in cubic decimeters (dm³) if the edge length is in decimeters. This concept is crucial for ensuring that the final volume is correctly interpreted in the desired unit of liters.
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02:52Units of Radiation Measurement
Related Practice
Textbook Question
What is the volume in mL of a cube with an edge length of 2.5 cm?
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Textbook Question
What is the density of lead in g/cm3 if a sample weighing 206.77 g has a volume of 15.50 cm3?
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Textbook Question
Suppose you were dissatisfied with both Celsius and Fahrenheit units and wanted to design your own temperature scale based on ethyl alcohol (ethanol). On the Celsius scale, ethanol has a melting point of -117.3 °C and a boiling point of 78.5 °C, but on your new scale calibrated in units of degrees ethanol, °E, you define ethanol to melt at 0 °E and boil at 200 °E. (e) If the outside thermometer reads 130 °E, how would you dress to go out?
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Textbook Question
Sodium chloride has a melting point of 1074 K and a boil-ing point of 1686 K. Convert these temperatures to degrees Celsius and to degrees Fahrenheit.
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Textbook Question
What is the difference between a derived SI unit and a funda-mental SI unit? Give an example of each
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