# Determine the number of atoms in each sample. a.45.0 g Si b.45.0 g Sn c.28.2 mg Pb

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 3, Problem 50E
Textbook Problem
48 views

## Determine the number of atoms in each sample.a.45.0 g Sib.45.0 g Snc.28.2 mg Pb

Interpretation Introduction

Interpretation:

The number of atoms in each given sample is to be calculated.

Concept Introduction:

 A mole is a unit of amount of substance. It relates a number of particles to the molar mass.

 One mole of a substance contains Avogadro’s number, that is, 6.022×1023 particles. The number remains constant regardless of the nature of the substance. One mole of an atom contains 6.022×1023 atoms. One mole of molecules contains 6.022×1023 molecules.

 It also relates to the molar mass of a substance in grams. One mole of a substance weighs that amount in grams, which is equal to its molar mass.

### Explanation of Solution

a) 45.0 g Si

The number of atoms in Si is calculated as follows:

The molar mass of Si is 28.09 g.

6.022 ×1023 atoms of Si = 1 mole of Si = 28.09 g28.09 g of Si contains = 6.022 ×1023 atoms of Si

Therefore,

45 g of Si  contains = 45g Sn×1mol Si28.09 g× 6.022×1023 atoms1mol Si                               =  9.65 × 1023 atoms

Hence, the number of atoms in Si is 9.65 × 1023 atoms.

b) 45.0 g Sn

The number of atoms in Sn is calculated as follows:

The molar mass of Sn is 118.7 g.

6.022 ×1023 atoms of Sn = 1 mole of Sn = 118.7 g

118.7 g of Sn contains = 6.022 ×1023 atoms of Sn

Thus,

45 g of Sn contains=45g Sn×1 mol Sn118.7 g Sn× 6.022×1023 atoms1 mol Sn                     =  2

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