   Chapter 2.6, Problem 2.7CYU

Chapter
Section
Textbook Problem

If you have 454 g of citric acid (H3C6H5O7), what amount (moles) does this represent? How many molecules? How many atoms of carbon?

Interpretation Introduction

Interpretation:

For the given amount of citric acid, the number of moles, number of molecules and number of carbon atoms are need 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

• Conversion formula for number moles of a molecule into mass in grams,

Numberofmoles×Molarmass=Massingrams

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

Numberofmolecule=numberofmolesofmolecule×6.022×1023atoms/mol

Explanation

The amount of citric acid is given as 454g

The molecular formula of citric acid is H3C6H5O7, so the molar mass of citric acid is,

8×1.01g(H)+6×12.01(C)+7×16g(O)=192.14g(H3C6H5O7)

Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

Therefore,

The number moles of citric acid is,

Numberofmoles=454g192.14g/mol=2.36mol

The number of moles of citric acid is found that 2

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