How many grams of iron can be produced from 4.50Kg Fe2O3?

Hematite, Fe2O3, is an important ore of iron. The free metal Fe is obtained by reacting hematite with carbon monoxide, CO, in a blast furnace. The reaction is
Fe2O3 (s) + 3CO(g)--> 2Fe (s) + 3CO2 (g)

Answer:
4500g Fe2O3 * (1 mol Fe2O3 / 159.68g Fe2O3) * (2 mol Fe / 1 mol Fe2O3) * (55.84g Fe / 1 mol Fe) = 3147g Fe

This of course assumes 100% efficiency. Hope this helps!
3.15kg
Hope it's correct...
Atomic weight of iron = 55.845amu
Atomic weight of oxygen = 15.9994amu

4500g x 2(Fe) / { 2(Fe) + 3(O) }

4500g x 2(55.845) / { 2(55.845) + 3(15.9994) }

4500g x {111.69 / 159.6882}

[ 3,147.4 grams ]
3146.6 grams of Iron.
4.50 Kg = 4500 g
Molecular weight Fe2O3 = 159.7 g/mol
4500 g / 159.7 = 28.2 moles
The ratio between Fe2O3 and Fe is 1 : 2
We would get 2 x 28.2 = 56.4 moles Fe
56.4 mol x 55.847 = 3150 g = 3.150 Kg Fe produced
no. of moles of Fe2O3
= 4500/ (2 x 55.8 + 16.0 x 3)
= 28.1955 mol.

From the equation,
reacting ratio of Fe2O3 : Fe
= 1 : 2
= 28.1955 mol : 56.3910 mol

max mass of Fe obtainable
= 56.3910 x (55.8)
= 3146.6 g
You have to first convert Kg to grams.
4.5kg x 1000 g = 4500g Fe2O3

4500g x 2molFe x 55gFe2 / 158gFe2O3 x 1molFe2 =

3132 g Fe
molar mass of Fe2O3 = 159.7 g/ mol

use farmula...no of mol = mass /molar mass

no of moles = 4500 / 159.7 = 28.18 mol
From the question 1 mol of Fe2O3 produces 2 mol of Fe. so

2 * 28.18 = 56.35 mol of Fe
Therefor...
56.35 * 55.84 = 3146 g of Fe. Ans.
(Here 55.84 = atomic mass of Fe)

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