The reaction between aluminum and iron(III) oxide can generate temperatures approaching 3000 degrees C and is used in welding metals: 2 Al + Fe2O3 = Al2O3 + 2Fe In one process, 126 g of Al are reacted with 601 g of Fe2O3 Calculate the mass, in grams, of Al2O3 formed
the reaction is
2 Al + Fe203 ---> Al203 + 2 Fe
we know that
moles = mass / molar mass
so
moles of Al taken = 126 / 27 = 4.667
moles of Fe203 taken = 601 / 159.69 = 3.7635
now
consider the given reaction
2 Al + Fe203 ---> Al203 + 2 Fe
we can see that
moles of Al required = 2 x moles of Fe203
so
moles of Al required = 2 x 3.7635
moles of Al required = 7.527
but
only 4.667 moles of Al is present
so
Al is the limiting reagent
now
we can see that
moles of Al203 formed = 0.5 x moles of Al reacted
so
moles of Al203 formed = 0.5 x 4.6667 = 2.3335
now
mass = moles x molar mass
so
mass of Al203 = 2.335 x 102 = 238
so
238 grams of Al203 is formed
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