J.R. S. answered 06/22/19
Ph.D. University Professor with 10+ years Tutoring Experience
2HgO(s) ==> 2Hg(l) + O2 ... balanced equation
moles of mercury(II) oxide present = 6.67g x 1 mole/216.59g = 0.030796 moles
moles of O2 gas that can be produced = 0.030796 moles HgO x 1 mol O2/2 moles HgO = 0.015398 moles O2
Using the ideal gas law PV = nRT, we can now solve for volume (V)...
Convert T (temp) to Kelvin: 30.0 C + 273 = 303 K
Convert torr to atm: 725 torr x 1 atm/760 torr = 0.954 atm
Solve for V:
V = nRT/P = (0.015398 mol)(0.0821 Latm/Kmol)(303K)/0.954 atm
V = 0.402 L (to 3 significant figures)