Reaction: S + O2 ---> SO2
(2.75 kg)(1 kg-mole / 32.065 kg) = 0.08576 kg-moles
And since SO2 is produced in a 1:1 ratio
(0.08576 kg-moles)(1000 g/kg) = 85.76 moles SO2
Using ideal gas law: PV = nRT
Substituting: (1.01)V = (85.76)(82.05746 atm*cm^3/ (mol * K))(295.4 K)
Solve for V
V = 2.06 x 10^6 mL
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Verified answer
Reaction: S + O2 ---> SO2
(2.75 kg)(1 kg-mole / 32.065 kg) = 0.08576 kg-moles
And since SO2 is produced in a 1:1 ratio
(0.08576 kg-moles)(1000 g/kg) = 85.76 moles SO2
Using ideal gas law: PV = nRT
Substituting: (1.01)V = (85.76)(82.05746 atm*cm^3/ (mol * K))(295.4 K)
Solve for V
V = 2.06 x 10^6 mL