15.63 mol. You need 15.63 mol HgO to produce 250.0 g O_2.
Step 1. Convert grams of O_2 to moles of O_2
Moles of O_2 = 250.0 g O_2 × (1 mol O_2/32.00 g O_2) = 7.8125 mol O_2
Step 2. Use the molar ratio of HgO:O_2 to convert moles of O_2 to moles of HgO
Moles of HgO = 0.8885 mol O_2 × (2 mol HgO/1 mol O_2) = 15.63 mol HgO