Textbook Question
A sugar crystal contains approximately 6.55 * 1017 sucrose (C12H22O11) molecules. What is its mass in mg?
Ch.3 - Molecules and Compounds
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217
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Table of contents
- Ch.1 - Matter, Measurement & Problem Solving90
- Ch.2 - Atoms & Elements94
- Ch.3 - Molecules and Compounds103
- Ch.4 - Chemical Reactions and Chemical Quantities46
- Ch.5 - Introduction to Solutions and Aqueous Solutions65
- Ch.6 - Gases100
- Ch.7 - Thermochemistry85
- Ch.8 - The Quantum-Mechanical Model of the Atom51
- Ch.9 - Periodic Properties of the Elements79
- Ch.10 - Chemical Bonding I: The Lewis Model70
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory68
- Ch.12 - Liquids, Solids & Intermolecular Forces44
- Ch.13 - Solids & Modern Materials42
- Ch.14 - Solutions77
- Ch.15 - Chemical Kinetics88
- Ch.16 - Chemical Equilibrium57
- Ch.17 - Acids and Bases121
- Ch.18 - Aqueous Ionic Equilibrium126
- Ch.19 - Free Energy & Thermodynamics80
- Ch.20 - Electrochemistry87
- Ch.21 - Radioactivity & Nuclear Chemistry61
- Ch.22 - Organic Chemistry114
Chapter 3, Problem 75a
Calculate the mass (in g) of each sample. a. 5.94×1020 SO3 molecules b. 2.8×1022 H2O molecules c. 1 glucose molecule (C6H12O6)
Verified step by step guidance1
Identify the given quantity: 5.94 \(\times\) 10^{20} \(\text{ SO}\)_3 \(\text{ molecules}\).
Use Avogadro's number to convert molecules to moles. Avogadro's number is 6.022 \(\times\) 10^{23} \(\text{ molecules/mol}\).
Calculate the number of moles of \(\text{SO}\)_3 by dividing the number of molecules by Avogadro's number.
Determine the molar mass of \(\text{SO}\)_3. The molar mass is the sum of the atomic masses of sulfur (S) and oxygen (O) from the periodic table: \(\text{Molar mass of }\) \(\text{SO}\)_3 = \(\text{Molar mass of S}\) + 3 \(\times\) \(\text{Molar mass of O}\).
Multiply the number of moles of \(\text{SO}\)_3 by its molar mass to find the mass in grams.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Molecular Mass
Molecular mass is the sum of the atomic masses of all atoms in a molecule, expressed in grams per mole (g/mol). For sulfur trioxide (SO3), the molecular mass can be calculated by adding the atomic mass of sulfur (approximately 32.07 g/mol) and three times the atomic mass of oxygen (approximately 16.00 g/mol), resulting in a total molecular mass of about 80.07 g/mol.
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Atomic Mass
Avogadro's Number
Avogadro's number, approximately 6.022 x 10^23, is the number of particles (atoms, molecules, etc.) in one mole of a substance. This constant allows chemists to convert between the number of molecules and the amount of substance in moles, which is essential for calculating mass from a given number of molecules.
Mass Calculation from Molecules
To calculate the mass of a sample from a given number of molecules, first convert the number of molecules to moles using Avogadro's number. Then, multiply the number of moles by the molecular mass of the substance. This process provides the mass in grams, allowing for practical applications in chemistry.
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