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Ch.2 - Atoms & Elements
Tro - Chemistry: A Molecular Approach 5th Edition
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Tutti i libri di testoTro 5th EditionCh.2 - Atoms & ElementsProblema 45a
Capitolo 2, Problema 45a

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 -15 µC (microcoulombs), how many excess electrons has it acquired?

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1
Understand that the charge of an electron is approximately -1.602 x 10^{-19} coulombs.
Convert the charge from microcoulombs to coulombs. Note that 1 µC equals 1 x 10^{-6} coulombs.
Calculate the total charge in coulombs by multiplying the number of microcoulombs by the conversion factor from microcoulombs to coulombs.
Use the formula \( n = \frac{Q}{e} \) where \( n \) is the number of electrons, \( Q \) is the total charge in coulombs, and \( e \) is the charge of an electron.
Solve for \( n \) to find the number of excess electrons.

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Charge and Coulombs

Charge is a fundamental property of matter that causes it to experience a force in an electromagnetic field. The unit of charge is the coulomb (C), where 1 coulomb is equivalent to the charge of approximately 6.242 x 10^18 electrons. In this context, microcoulombs (µC) are used, where 1 µC equals 10^-6 coulombs.
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01:15
Coulomb's Law Concept 2

Electrons and Their Charge

Electrons are subatomic particles with a negative charge of approximately -1.602 x 10^-19 coulombs. When an object accumulates a negative charge, it indicates an excess of electrons. The total number of excess electrons can be calculated by dividing the total charge by the charge of a single electron.
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Formal Charge

Calculating Excess Electrons

To find the number of excess electrons acquired by an object with a known charge, the formula used is: Number of electrons = Total charge (in coulombs) / Charge of one electron. For example, if the body has a charge of -15 µC, this value must be converted to coulombs and then divided by the charge of an electron to determine the total number of excess electrons.
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Electron Capture
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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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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 -15 µC (microcoulombs), what is their collective 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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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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