The chemical formula of ilmenite is #FeTiO_3#. What mass of titanium can be obtained from 500.0 g of ilmenite?
Your strategy here will be to determine how many grams of titanium,
Ilmenite's molar mass is equal to
As you can see by inspecting the compound's chemical formula, one mole of ilmenite will also contain
- one mole of iron,
#1 xx "Fe"#
- one mole of titanium,
#1 xx "Ti"#
- three moles of oxygen,
#3 xx "O"#
Since titanium has a molar mass of
So, if you get
#500.0 color(red)(cancel(color(black)("g ilmenite"))) * "47.857 g Ti"/(151.71 color(red)(cancel(color(black)("g ilmenite")))) = color(green)(|bar(ul(color(white)(a/a)"157.7 g Ti"color(white)(a/a)|)))#
The answer is rounded to four sig figs.
Notice that it's more practical to determine the percent composition of the compound because it makes the ratio of titanium to ilmenite easier to work with.
#"% Ti" = (47.857 color(red)(cancel(color(black)("g"))))/(151.71color(red)(cancel(color(black)("g")))) xx 100 = 31.545%#
This means that you get