Introductory Chemistry (6th Edition)
Introductory Chemistry (6th Edition)
6th Edition
ISBN: 9780134302386
Author: Nivaldo J. Tro
Publisher: PEARSON
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Chapter 6, Problem 1SAQ

How many atoms are there in 5.8 mol helium?

a. 23.2 atoms

b. 9 .6  ×  10 -24 atoms

c. 5 .8  ×  10 23 atoms

d. 3 .5  ×  10 24 atoms

Expert Solution & Answer
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Interpretation Introduction

Interpretation: The number of atoms in 5.8 mol helium is to be calculated.

Concept Introduction: One mole of the substance contains 6.022×1023 atoms. Thus, to convert between moles of an element and number of atoms, use the following conversion factor:1 mol6.022×1023 atomsor6.022×1023 atoms1 mol

Answer to Problem 1SAQ

Correct Answer: Thenumber of atoms in 5.8 mol of helium is 3.5×1024. Therefore, option (d) is correct.

Explanation of Solution

Reason for correct option:

In order to carry out the conversions between moles of atoms and number of atoms, use the conversion factor as follows:

6.022×1023 atoms1 mol

To determine the number of helium atoms present in 5.8 mol of helium, multiply the conversion factor with 5.8 mol.

Numberofatomsin5.8 mol of He=5.8 mol He×6.022×1023 atoms1 mol He=34.9×1023 atoms

As the given value is in two significant figures, the final answer should also be in two significant figures.Roundoff the answer to two significant figures; hence, the answer is 3.5×1024 atoms.

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a)is incorrect because according to the above relation, the value 23.2 atoms cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because the value 9.6×1024 atoms cannot be obtained according to the above relation. So, it is a wrong answer.

Option (c)is incorrect as per the above relation. The value 5.8×1023 atoms cannot be obtained. So, it is a wrong answer.

Hence, options (a), (b), and (c) are incorrect.

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Chapter 6 Solutions

Introductory Chemistry (6th Edition)

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