J.R. S. answered 08/31/20
Ph.D. University Professor with 10+ years Tutoring Experience
Write the correctly balanced equation:
2HgO(s) ==> 2Hg(l) + O2(g)
Calculate moles of HgO that are present: 29.1 g HgO x 1 mol HgO/216.59 g = 0.1344 moles HgO
Use the balanced equation to find moles of O2: 0.1344 mol HgO x 1 mol O2/2 mol HgO = 0.06718 mol O2
Use ideal gas law to find volume of O2: PV = nRT and V = nRT/P
V = (0.06718 mol)(0.0821 L-atm/K-mol)(298K)/1 atm
V = 1.64 L (to 3 significant figures)