Textbook Question
A vessel contains 4.67 L of bromine whose density is 3.10 g/cm3. What is the mass of the bromine in the vessel (in kilograms)?
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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 & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
Chapter 1, Problem 71
The density of silver is 10.5 g/cm3. What is the mass (in kilo-grams) of a cube of silver that measures 0.62 m on each side?
Verified step by step guidance1
Step 1: Convert the side length of the cube from meters to centimeters. Since 1 meter is equal to 100 centimeters, you can do this by multiplying the given length in meters by 100.
Step 2: Calculate the volume of the cube in cubic centimeters (cm^3). The volume of a cube is given by the formula side length^3.
Step 3: Use the given density of silver to find the mass of the cube in grams. Density is defined as mass/volume, so you can find the mass by multiplying the density by the volume.
Step 4: Convert the mass from grams to kilograms. Since 1 kilogram is equal to 1000 grams, you can do this by dividing the mass in grams by 1000.
Step 5: The result from step 4 is the mass of the silver cube in kilograms.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Density
Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). It is a physical property that helps determine how much mass is contained in a given volume of a substance. In this question, the density of silver is provided, which will be used to calculate the mass of the silver cube.
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01:56
Density Concepts
Volume of a Cube
The volume of a cube is calculated using the formula V = s³, where 's' is the length of one side of the cube. This formula allows us to determine how much space the cube occupies. In this case, the side length of the silver cube is given in meters, so it must be converted to centimeters to match the density units for accurate calculations.
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02:35Constant-Volume Calorimetry
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this problem, it is necessary to convert the volume from cubic centimeters to cubic meters and the mass from grams to kilograms. Understanding how to perform these conversions is essential for ensuring that calculations yield results in the desired units.
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01:56Conversion Factors
Related Practice
Textbook Question
Aspirin has a density of 1.40 g/cm3. What is the volume in cubic centimeters of an aspirin tablet weighing 250 mg? Of a tablet weighing 500 lb?
Textbook Question
Gaseous hydrogen has a density of 0.0899 g/L at 0 °C, and gaseous chlorine has a density of 3.214 g/L at the same tem-perature. How many liters of each would you need if you wanted 1.0078 g of hydrogen and 35.45 g of chlorine?
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Textbook Question
What is the density of lead in g/cm3 if a rectangular bar mea-suring 0.50 cm in height, 1.55 cm in width, and 25.00 cm in length has a mass of 220.9 g?
Textbook Question
What is the density of lithium metal in g/cm3 if a cylindrical wire with a diameter of 2.40 mm and a length of 15.0 cm has a mass of 0.3624 g?
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Textbook Question
You would like to determine if a set of antique silverware is pure silver. The mass of a small fork was measured on a balance and found to be 80.56 g. The volume was found by dropping the fork into a graduated cylinder initially contain-ing 10.0 mL of water. The volume after the fork was added was 15.90 mL. Calculate the density of the fork. If the den-sity of pure silver at the same temperature is 10.5 g/cm3, is the fork pure silver?
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