How do we represent the oxidation of a #25*g# mass aluminum metal to alumina?

2 Answers
Nov 6, 2017

Well, we need a stoichiometric equation....

Explanation:

#Al(s) + 3/2O_2(g) rarr Al_2O_3(s)#

And so we interpolate the equivalent masses of aluminum and dioxygen....

#"Moles of aluminum"=(25.0*g)/(27.0*g*mol^-1)=0.926*mol#

...and this molar quantity of metal requires...

#3/2*"equiv"xx0.926*molxx32.00*g*mol^-1=44.5*g# with respect to dioxygen....and all I have done is to use the stoichiometric equation to inform me of the equivalent masses of metal and dioxygen....

Nov 6, 2017

47.309 grams

Explanation:

We need to write a balanced equation for this reaction.

#4Al + 3O_2 -> 2Al_2O_3#

Aluminium and aluminium oxide are in a 2:1 ratio.

You need to calculate the number of moles of aluminum in the 25g.

To do this you use the equation:

no. of moles (mol) = mass (g) / molecular weight (g/mol)

MW Al = 26.981 g/mol

no. of moles = 25 / 26.981

no. of moles = 0.927 mol (3 decimal places)

As there is a 2:1 ratio you must divide the number of moles by 2 as for every 2 moles of aluminium you produce 1 mole of aluminum oxide.

no. of moles of #Al_2O_3# = 0.927 / 2

no. of moles of #Al_2O_3# = 0.464 mol (3 decimal places)

To convert back to mass we use the same equation as before, but rearranged for mass.

mass = no. of moles X molecular weight

MW #Al_2O_3# = 101.96 g/mol

mass #Al_2O_3# = 0.464 X 101.96

mass #Al_2O_3# = 47.309 g