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Given 112.0 g of Fe and 66.7 g of water, calculate the mass of Fe3O4 produced . How many grams of the excess reactant remain? 3Fe (s) +4H2O (g) => Fe3O4 (s) +4H2 (g)

1 Answer

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Step 1

The reaction provided:

3Fe (s) +4H2O (g) => Fe3O4 (s) +4H2 (g)

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Step 2

Data provided:

112.0 g of Fe and 66.7 g of water (H2O)

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Data needed:

The molar masses:

H2O) 18.0 g/mol

Fe) 55.8 g/mol

Fe3O4) 231.5 g/mol

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Step 3

The limiting reactant:

By stoichiometry:

3Fe (s) +4H2O (g) => Fe3O4 (s) +4H2 (g)

3 x 55.8 g Fe ------- 4 x 18.0 g H2O

112.0 g Fe -------- X

X = 112.0 g Fe x 4 x 18.0 g H2O/3 x 55.8 g Fe

X = 48.2 g H2O

For 112.0 g of Fe, 48.2 g of H2O is needed, but there is 66.7 g of H2O, so the limiting reactant is Fe and the excess is H2O.

Amount of water that remains:

66.7 g H2O - 48.2 g H2O = 18.5 g of H2O

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Step 4

The amount of Fe3O4 produced:

By stoichiometry,

3Fe (s) +4H2O (g) => Fe3O4 (s) +4H2 (g)

3 x 55.8 g Fe -------- 231.5 g Fe3O4

112.0 g Fe -------- X

X = 155 g Fe3O4 approx.

Answer:

Mass of excess left = 18.5 g of H2O

Mass of Fe3O4 produced = 155 g Fe3O4

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