Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

What net charge would you place on a 100 g piece of sulfur if you put an extra electron on 1 in 10¹² of its atoms? (Sulfur has an atomic mass of 32.1.)

If sulfur has an extra 1 electron in 10¹² of its atoms, then the net charge on 100 g piece is $- 0.300 μ C$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Data

Mass of piece of sulphur is 100 g
Fraction of extra electrons is $\frac{1}{10^{12}}$

Atomic mass of sulphur is 32.1

Step 2: Charged body

When there is imbalance in the number of electron and proton in a body, then it is said to be charged. If a body gains extra electron, the body is said to be negatively charged.

Step 3: Number of extra electrons

The number of moles of sulfur is,

$N = \frac{m}{M}$

Here, N is the number of moles of sulfur, m is the mass of the sulfur piece (m = 100 g) , and is the molar mass of the sulfur ( M = 32.1 g ) .

Substituting all known values,

$N = \frac{100 g}{32.1 g} = 3.115$

The number of sulfur atom is,

$N_{a} = (3.115) \times (6.022 \times 10^{23}) = 1.876 \times 10^{24}$

Since, there is 1 extra electron on every 10¹² atom. Therefore, the number of extra electrons is,

$n = \frac{1.876 \times 10^{24}}{10^{12}} = 1.876 \times 10^{12}$

Step 4: Net charge

According to the quantization of charge,

Q = ne

Here, Q is the net charge, n is the number of extra electron $(n = 1.876 \times 10^{12})$ , and e is the charge on an electron $(e = - 1.6 \times 10^{- 19} C)$ .

Substituting all known values,

$Q = (1.876 \times 10^{12}) \times (- 1.6 \times 10^{- 19} C) = 3.00 \times 10^{- 7} C \times (\frac{1 μ C}{10^{- 6} C}) = - 0.300 μ C$

Hence, the net charge on 100 g of piece of sulfur, if it has an extra 1 electron in 10¹² of its atoms, is $- 0.300 μ C$ .

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College Physics (Urone)

Answers without the blur.

Short Answer

What net charge would you place on a 100 g piece of sulfur if you put an extra electron on 1 in 10¹² of its atoms? (Sulfur has an atomic mass of 32.1.)

Step by Step Solution

Step 1: Given Data

Step 2: Charged body

Step 3: Number of extra electrons

Step 4: Net charge

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College Physics (Urone)

Answers without the blur.

Short Answer

What net charge would you place on a 100 g piece of sulfur if you put an extra electron on 1 in 1012 of its atoms? (Sulfur has an atomic mass of 32.1.)

Step by Step Solution

Step 1: Given Data

Step 2: Charged body

Step 3: Number of extra electrons

Step 4: Net charge

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What net charge would you place on a 100 g piece of sulfur if you put an extra electron on 1 in 10¹² of its atoms? (Sulfur has an atomic mass of 32.1.)