Hello, Cori,
I was surprised to see that you wanted liters of Al2O3, since it is a solid. But, liters of a solid is a legitimate question.
The density of Al2O3 is 3.987g/cm3.
We have 72.17 grams, so we can find the volume in cm3.
Volume of Al2O3 = (72.17 g)/(3.987g/cm3) = 18.101 cm3
What we're missing is a conversion factor to change cm3 to liters.
1 m3 = 1x106 cm3
and 1 m3 = 1000 liters
Make them into conversion factors:
1 = (1 m3)/1x106 cm3)
and
1 = 1000 liters/m3
No multiply so that we can cancel the cm3 and wind up with just liters:
(18.101 cm3)*[ (1 m3)/1x106 cm3)]*[(1000 liters/m3)]
(18.101 cm3)*[ (1 m3)/1x106 cm3)]*[(1000 liters/m3)] = 1.81x10-2 liters, or 0.1810 liters. (4 sig figs)
Bob
