J.R. S. answered 04/25/19
Ph.D. University Professor with 10+ years Tutoring Experience
2Au2O ==> 4Au + O2
moles Au2O = 4.421 g x 1 mol/410 g = 0.01078 moles
moles O2 formed = 0.01078 mol Au2O x 1 mol O2/2 mol Au2O = 0.005391 moles O2
volume of O2 = nRT/P where n = 0.005391 moles; R = 0.0821 Latm/Kmol; T = 27+273 = 300K; P = 745 mm - 26.7 mm = 718.3 mm x 1 atm/760 mm = 0.9451 atm
V = (0.005391)(0.0821)(300)/(0.9451)
V = 0.1405 L