   Chapter 3, Problem 47E

Chapter
Section
Textbook Problem

Calculate the mass of 500. atoms of iron (Fe).

Interpretation Introduction

Interpretation: The mass of 500 atoms of Iron is to be calculated.

Concept introduction: The atomic mass is defined as the sum of number of protons and number of neutrons.

The amount of substance containing 12g of pure carbon is called a mole. One mole of atoms always contains 6.022×1023 atoms. This value is also called Avogadro’s number.

Hence,

(6.022×1023 atoms)(12u1atom)=12g1u=16.022×1023 g

To determine: The mass of 500 atoms of Iron.

Explanation

Given

The number of atoms of Iron is 500 .

The atomic mass of Iron atom is 55.845u .

The mass of single atom (in grams) can be calculated by dividing molar mass with Avogadro’s number. Therefore,

Mass of one Iron atom =(55.8456.022×1023)g=9.271×1023g

The mass of 500 atoms of iron is calculated by multiplying the mass of one Iron atom with 500

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