Chemistry: A Molecular Approach (3rd Edition)

Published by Prentice Hall
ISBN 10: 0321809246
ISBN 13: 978-0-32180-924-7

Chapter 3 - Sections 3.1-3.12 - Exercises - Problems by Topic - Page 132: 74

Answer

$Fe_{3}O_{4}$ has the highest mass percentage composition of iron

Work Step by Step

1-Finding the percentage of iron in $Fe_{2}O_{3}$: Molar mass of iron in $Fe_{2}O_{3}$=2×55.8=111.6 Total Molar mass of the compound=( 2×55.8 )+(3×16)=159.6 To calculate the mass percentage composition, divide molar mass of iron present in the compound by the total molar of compound: 111.6/159.6= 0.6992 Multiply the answer by 100 to find the percentage 0.6992×100= 69.92% 2-Finding the percentage of iron in $Fe_{3}O_{4}$: Molar mass of iron in $Fe_{3}O_{4}$=3×55.8=167.4 Total molar mass of $Fe_{3}O_{4}$=( 3×55.8 )+(4×16)=231.4 To find the mass percentage composition of iron in the compound, divide molar mass of iron present in the compound by the total molar mass of the compound: 167.4/231.4 = 0.7234 Multiply by 100 to find the percentage. 0.7234x100= 72.34% 3- Finding the percentage of Iron in $FeCO_{3}:$ Molar mass of iron in $Fe_{3}O_{3}$=55.8 Total Molar mass of $Fe_{3}O_{3}$=55.8+12+(3×16)=115.8 To find the mass percentage composition of iron in the compound, divide molar mass of iron present in the compound by the total molar mass of the compound: 55.8 / 115.8= 0.481 Multiply by 100 to find the percentage. 0.481×100=48.1% Therefore, it is seen that $Fe_{3}O_{4}$ has the highest mass percentage composition of iron.
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