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How many electrons are necessary to produce a charge of -11.0 C? What is the mass of this many electrons?
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Ch.2 - Atoms & Elements
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217
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TOC.tableOfContents
- 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
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 46
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
Guida verificata passo dopo passo1
Identify the smallest charge magnitude among the given drops, as this represents the charge of one electron in zorgs. In this case, observe the charges of each drop: A = -4.8 \(\times\) 10^{-9} z, B = -9.6 \(\times\) 10^{-9} z, C = -6.4 \(\times\) 10^{-9} z, D = -12.8 \(\times\) 10^{-9} z.
Determine that the smallest charge magnitude is -4.8 \(\times\) 10^{-9} z (from Drop A), which suggests that this is the charge of one electron in zorgs.
Confirm that the charge of each drop is a multiple of the smallest charge magnitude. For example, Drop B's charge is exactly twice that of Drop A, Drop C's charge is 1.33 times that of Drop A, and Drop D's charge is 2.67 times that of Drop A.
Calculate the number of electrons in each drop by dividing the charge of each drop by the charge of one electron. For instance, for Drop B, divide -9.6 \(\times\) 10^{-9} z by -4.8 \(\times\) 10^{-9} z.
Conclude that the charge of an electron in zorgs is -4.8 \(\times\) 10^{-9} z and use the ratios calculated in the previous step to determine the number of electrons in each drop.
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Charge of the Electron
The charge of the electron is a fundamental physical constant, approximately -1.6 x 10^-19 coulombs. In this scenario, the charge is expressed in a fictional unit called 'zorgs.' Understanding the relationship between the charge of the electron and the measurements in zorgs is crucial for determining the electron's charge in this context.
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Percorso guidato
01:53
Formal Charge
Oil Drop Experiment
The oil drop experiment, conducted by Robert Millikan, was designed to measure the charge of the electron. By balancing the gravitational force on tiny oil droplets with an electric field, Millikan was able to determine the charge of individual electrons. This experiment is foundational in understanding quantized charge and the nature of electrons.
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04:44Millikan Oil Drop
Quantization of Charge
Charge is quantized, meaning it exists in discrete amounts rather than a continuous range. In the context of the oil drop experiment, the charges measured for each drop are multiples of the elementary charge (the charge of a single electron). This concept is essential for calculating the number of electrons in each oil drop based on the total charge measured.
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01:53Formal Charge
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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?
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Domanda del libro di testo
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?
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Which statements are consistent with Rutherford's nuclear theory as it was originally stated? Why? a. The volume of an atom is mostly empty space. b. The nucleus of an atom is small compared to the size of the atom. c. Neutral lithium atoms contain more neutrons than protons. d. Neutral lithium atoms contain more protons than electrons.
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Domanda del libro di testo
A chemist in an imaginary universe, where electrons have a different charge than they do in our universe, performs the Millikan oil drop experiment to measure the electron's charge. The charges of several drops are recorded here. What is the charge of the electron in this imaginary universe?
Drop # Charge
A –6.9×10–19 C
B –9.2×10–19 C
C –11.5×10–19 C
D –4.6×10–19 C
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