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Ch.2 - Atoms & Elements
Tro - Chemistry: A Molecular Approach 4th Edition
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Tutti i libri di testoTro 4th EditionCh.2 - Atoms & ElementsProblema 46
Capitolo 2, Problema 46

How many electrons are necessary to produce a charge of -1.0 C? What is the mass of this many electrons?

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1
Determine the charge of one electron, which is approximately -1.602 x 10^{-19} coulombs.
Calculate the number of electrons needed to produce a total charge of -1.0 C by dividing the total charge by the charge of one electron. Use the formula: \(\text{Number of electrons}\) = \(\frac{\text{Total charge}\)}{\(\text{Charge per electron}\)}.
Find the mass of one electron, which is approximately 9.109 x 10^{-31} kilograms.
Multiply the number of electrons calculated in step 2 by the mass of one electron to find the total mass of the electrons. Use the formula: \(\text{Total mass}\) = \(\text{Number of electrons}\) \(\times\) \(\text{Mass of one electron}\).
Summarize the results to find the total number of electrons and their corresponding mass.

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Charge of an Electron

An electron carries a fundamental charge of approximately -1.6 x 10^-19 coulombs. This negative charge is a basic property of electrons and is essential for understanding electric charge in atoms and molecules.
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01:53
Formal Charge

Calculating Number of Electrons

To find the number of electrons needed to produce a specific charge, divide the total charge by the charge of a single electron. For a charge of -1.0 C, the calculation involves dividing -1.0 C by -1.6 x 10^-19 C/electron, yielding the total number of electrons required.
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00:46
Number 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 a certain number of electrons, multiply the number of electrons by the mass of one electron, which allows for the conversion of charge into a corresponding mass.
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02:19
Atomic Mass
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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

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