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Question

1 mol of iron( Fe) reacts completely with 0.65 mol of O2 to give a mixture of only FeO and Fe2O3 . mole ratio of ferrous oxide to ferric oxide is

Give the solution using some short cut method

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Solution

2Fe + O2 ==> 2FeO
a a/2 moles a
4Fe +3O2 ===> 2Fe2O3
b 3b/4 moles b/2

a+ b = 1
a/2 + 3b/4 = 0.65

or 1/2 a+ 1/2 b = 1/2 ( I substitute the first equation with 1/2)
a/2 + 3b/4 = 0.65
==> b = 0.6 moles
a= 0.4 moles
--> moles FeO = 0.4 moles
moles Fe2O3 = 0.6/2 = 0.3 moles
===> Ratio = 0.4/0.3 = 4/3


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