   Chapter 2, Problem 78PS

Chapter
Section
Textbook Problem

An Alka-Seltzer tablet contains 324 mg of aspirin (C.9H8O4,), 1904 mg of NaHCO3, and 1000. mg of citric add (H3C6H5O7). (The last two compounds react with each other to provide the "fizz," bubbles of CO2, when the tablet is put into water.)(a) Calculate the amount (moles) of each substance in the tablet.(b) If you take one tablet, how many molecules of aspirin are you consuming?

(a)

Interpretation Introduction

Interpretation:

For the given amount of Alka-Seltzer tablet, the number of moles of each substance and the number of moles of aspirin are needed to be calculated.

Concept introduction:

• Molar mass of a molecule can be calculated from its molecular formula by taking the sum of atomic masses of all the elements present in it.
• Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

• Equation for finding number of molecules from number of moles of a molecule,

Numberofmolecule=numberofmolesofmolecule×6.022×1023molecules/mol

Explanation

The amount of aspirin in tablet is given as 324mg.

The molar mass of aspirin is 180.157g.

Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

Therefore,

The number moles of aspirin is,

Numberofmoles=324g180.157g/mol=1.8mol

Similarly,

The amount of NaHCO3 in tablet is given as 1904mg.

The molar mass of NaHCO3 is 84g

(b)

Interpretation Introduction

Interpretation:

For the given amount of Alka-Seltzer tablet, the number of moles of each substance and the number of moles of aspirin are needed to be calculated.

Concept introduction:

• Molar mass of a molecule can be calculated from its molecular formula by taking the sum of atomic masses of all the elements present in it.
• Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

• Equation for finding number of molecules from number of moles of a molecule,

Numberofmolecule=numberofmolesofmolecule×6.022×1023molecules/mol

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