Textbook Question
On a dry day, your body can accumulate static charge from walking across a carpet or from brushing your hair. If your body develops a charge of -22 mC (microcoulombs), what is their collective mass?
Ch.2 - Atoms & Elements
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217
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Table of contents
- Ch.1 - Matter, Measurement & Problem Solving118
- Ch.2 - Atoms & Elements106
- Ch.3 - Molecules and Compounds131
- Ch.4 - Chemical Reactions and Chemical Quantities56
- Ch.5 - Introduction to Solutions and Aqueous Solutions82
- Ch.6 - Gases114
- Ch.7 - Thermochemistry96
- Ch.8 - The Quantum-Mechanical Model of the Atom60
- Ch.9 - Periodic Properties of the Elements90
- Ch.10 - Chemical Bonding I: The Lewis Model89
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory85
- Ch.12 - Liquids, Solids & Intermolecular Forces51
- Ch.13 - Solids & Modern Materials47
- Ch.14 - Solutions90
- Ch.15 - Chemical Kinetics115
- Ch.16 - Chemical Equilibrium68
- Ch.17 - Acids and Bases136
- Ch.18 - Aqueous Ionic Equilibrium153
- Ch.19 - Free Energy & Thermodynamics93
- Ch.20 - Electrochemistry106
- Ch.21 - Radioactivity & Nuclear Chemistry74
- Ch.22 - Organic Chemistry140
Chapter 2, Problem 48
How many electrons are necessary to produce a charge of -11.0 C? What is the mass of this many electrons?
Verified step by step guidance1
Identify the charge of a single electron, which is approximately \(-1.602 \times 10^{-19}\) C.
Calculate the number of electrons needed to produce a charge of \(-11.0\) C by dividing the total charge by the charge of a single electron.
Use the formula: \( \text{Number of electrons} = \frac{-11.0 \text{ C}}{-1.602 \times 10^{-19} \text{ C/electron}} \).
Determine the mass of a single electron, which is approximately \(9.109 \times 10^{-31}\) kg.
Calculate the total mass by multiplying the number of electrons by the mass of a single electron.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Charge of an Electron
An electron carries a fundamental charge of approximately -1.602 x 10^-19 coulombs. This negative charge is essential for understanding how many electrons are needed to achieve a specific total charge, as the total charge can be calculated by multiplying the number of electrons by the charge of a single electron.
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01:53
Formal Charge
Calculating Number of Electrons
To find the number of electrons required to produce a certain charge, you can use the formula: number of electrons = total charge / charge of one electron. For a charge of -11.0 C, you would divide -11.0 C by the charge of a single electron, allowing you to determine how many electrons are necessary to achieve that charge.
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00:46Number of Electrons in Shells
Mass of an Electron
The mass of a single electron is approximately 9.11 x 10^-31 kilograms. To find the total mass of the electrons calculated earlier, you multiply the number of electrons by the mass of one electron. This step is crucial for understanding the physical implications of the charge in terms of mass.
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02:19Atomic Mass
Related Practice
Textbook Question
Which statements about subatomic particles are true? a. If an atom has an equal number of protons and electrons, it will be charge-neutral. b. Electrons are attracted to protons. c. Electrons are much lighter than neutrons. d. Protons have twice the mass of neutrons.
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Textbook Question
On a dry day, your body can accumulate static charge from walking across a carpet or from brushing your hair. If your body develops a charge of -22 µC (microcoulombs), how many excess electrons has it acquired?
Textbook Question
How many electrons does it take to equal the mass of a proton?
Textbook Question
Which statements about subatomic particles are false? a. Protons and electrons have charges of the same magnitude but opposite sign. b. Protons have about the same mass as neutrons. c. Some atoms don't have any protons. d. Protons and neutrons have charges of the same magnitude but opposite signs.
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Textbook Question
Imagine a unit of charge called the zorg. A chemist performs the oil drop experiment and measures the charge of each drop in zorgs. Based on the results shown here, what is the charge of the electron in zorgs (z)? How many electrons are in each drop?
Drop # Charge
A –4.8×10–9 z
B –9.6×10–9 z
C –6.4×10–9 z
D –12.8×10–9 z