C. (1 mol O2/32.00 g O2)
To convert 106 g O2 to moles of O2, the equivalence factor is either
(1 mol O2/32.00 g O2) or (32.00 g O2/1 mol O2). We choose the one that has the desired units (mol) on top: (1 mol O2/32.00 g O2). Then,
Mass of O2= 106 g O2× (1 mol O2/32.00 g O2) = 3.31 mol O2
Notice that the unwanted units (g O2) cancel and do not appear in the answer.
“A. (1 mol O2/16.00 g O2)” is incorrect because it uses the molar mass of O (not O2).
”B. (16.00 grams O2/1 mol O2) is incorrect because it uses the wrong molar mass for O2.
“D. (32.00 g O2/1 mol O2)” is incorrect because it has the equivalence factor upside down.