   Chapter 2.6, Problem 2.6CYU

Chapter
Section
Textbook Problem

What mass of gold, Au, contains 2.6 × 1024 atoms?

Interpretation Introduction

Interpretation:

The mass of gold from its given number of atoms has to be calculated.

Concept introduction:

• Molar mass of gold is 197g/mol.
• Equation for finding number of moles from number of atoms of an atom,

Numberofmolesofatom=Numberofatoms6.022×1023atoms/mol

• Conversion formula for number moles of an atom into mass in grams,

Numberofmoles×Molarmass=Massingrams

Explanation

The amount of gold is given as 2.6×1024atoms.

Molar mass of gold is 197g/mol.

Equation for finding number of moles from number of atoms of an atom,

Numberofmolesofatom=Numberofatoms6.022×1023atoms/mol

Therefore,

The number of gold is,

Numberofmolesofgold=2.6×1024atoms6.022×1023atoms/mol=4

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