   Chapter 2, Problem 106GQ

Chapter
Section
Textbook Problem

Which of the following is impossible? (a) silver foil that is 1.2 ×10–4 m thick (b) a sample of potassium that contains 1.784 ×1024 atoms (c) a gold coin of mass 1.23 × 10–3 kg (d) 3.43 × 10–27 mol of S8 molecules

Interpretation Introduction

Interpretation: The impossible statement in the given statements is to be calculated.

Concept introduction:

Molar masses of Ag, K, Au and S are 107.8g, 39.09g, 196.9g and 32g respectively.

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

Numberofmoles=MassingramsMolarmass

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

Numberofatoms=numberofmolesofatom×6.022×1023atoms/mol

Explanation

Reason for correct option:

(a) Silver foil that is 1.2×104m thick.

Conversion formula for mass of an atom into number moles,

Numberofmoles=MassingramsMolarmass

Therefore,

The number of moles of silver is,

Numberofmoles=1.2×104107.8=0.01×104mol

(b) The given amount of potassium is 1.784×1024 atoms.

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

Numberofatoms=numberofmolesofatom×6.022×1023atoms/mol

Therefore,

1.784×1024atoms6.022×1023atoms/mol=0.296mol

(c) The given mass of gold is 1

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