Hello, Julissa,
We need a balanced equation for this decomposition reaction.
2HgO = 2Hg + O2
This tells us we get 1 mole of oxygen for every two moles of HgO. Jet's calculate the number of moles HgO in 70.7 grams by dividing by it's molar mass g/mole). The 0.326 moles of HgO will produce half that number of moles of O2.
Now we need to convert that to volume under the specified conditions of temperature and pressue. Use the gas law:
PV = nRT
Make sure the temperature is entered as Kelvin.
Solve for V, volume:
V = nRT/P
V = (0.163 moles)*(0.0821 L*atm/mole*K)*(273+25K)
V = 3.99 L O2
Bob