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How many iron atoms would be produced by 4.5g of Fe2O3 reacting eith an excess of magnesium

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How many iron atoms would be produced by 4.5g of Fe2O3 reacting eith an excess of-example-1
User Jefflarkin
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Answer :
0.34* 10^(23)atoms

Explanation : Given,

Mass of
Fe_2O_3 = 4.5 g

Molar mass of
Fe_2O_3 = 159.69 g/mole

Molar mass of Fe = 56 g/mole

First we have to calculate the moles of
Fe_2O_3.


\text{Moles of }Fe_2O_3=\frac{\text{Mass of }Fe_2O_3}{\text{Molar mass of }Fe_2O_3}=(4.5g)/(159.69g/mole)=0.028moles

Now we have to calculate the moles of Fe.

The balanced chemical reaction will be,


Fe_2O_3+3Mg\rightarrow 2Fe+3MgO

From the balanced reaction we conclude that

As, 1 moles of
Fe_2O_3 react to give 2 moles of
Fe

So, 0.028 moles of
Fe_2O_3 react with
(2)/(1)* 0.028=0.056 moles of
Fe

Now we have to calculate the mass of Fe.


\text{Atoms of}Fe=\text{Moles of }Fe* \text{Avogadro's Number}


\text{Atoms of}Fe=(0.056mole)* (6.023* 10^(23))=0.34* 10^(23)atoms

Therefore, the number of atoms will be
0.34* 10^(23)atoms

User Jeff Bennett
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8.1k points