Chromium can be extracted from chromium(III) oxide, Cr2O3\text{Cr}_2\text{O}_3Cr2O3, by reduction with aluminium:
Cr2O3+2Al→2Cr+Al2O3 \text{Cr}_2\text{O}_3 + 2\text{Al} \rightarrow 2\text{Cr} + \text{Al}_2\text{O}_3 Cr2O3+2Al→2Cr+Al2O324.5 g of Cr2O3\text{Cr}_2\text{O}_3Cr2O3 is reacted with an excess of aluminium. The percentage yield of chromium is 72.0%.
What is the mass of chromium obtained?
(Relative atomic masses, ArA_rAr: O=16.0\text{O} = 16.0O=16.0, Al=27.0\text{Al} = 27.0Al=27.0, Cr=52.0\text{Cr} = 52.0Cr=52.0)
6.03 g6.03\text{ g}6.03 g
8.38 g8.38\text{ g}8.38 g
12.1 g12.1\text{ g}12.1 g
16.8 g16.8\text{ g}16.8 g