Question
Asked Oct 13, 2019

Iron has a density of 7.87 g cm3 . What is the volume (in cubic inches) of an iron sample which contains 4.00 moles of iron? 2.54 cm = 1 inch (exact conversion)

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Step 1

The values are given as follows:

density of iron 7.87 g cm3
moles of iron 4.00 mol
inch 2.54 cm
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density of iron 7.87 g cm3 moles of iron 4.00 mol inch 2.54 cm

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Step 2

The mass of iron can be calculated with the help of molar mass of iron as follows:

Since
molar mass of iron 55.85 g/mol
Therefore
mass of iron (moles of iron)x (molar mass of iron)
4.00 mol x 55.85 g/mol
223.4 g
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Since molar mass of iron 55.85 g/mol Therefore mass of iron (moles of iron)x (molar mass of iron) 4.00 mol x 55.85 g/mol 223.4 g

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Step 3

The volume of iron can be calculated with th...

mass of iron
density of iron =
volume of iron
mass of iron
volume of iron
density of iron
223.4 g
7.87 g /cm
=28.39 cm3
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mass of iron density of iron = volume of iron mass of iron volume of iron density of iron 223.4 g 7.87 g /cm =28.39 cm3

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