Hello, Sarah,
2H2O2 = 2H2O + 1O2
The balanced equation tells us that we'll obtain 1 mole of O2 for every 2 moles of H2O2, a molar ratio of 0.5 O2/H2O2 .
Find the moles of H2O2: (0.250L)*(2.0 moles H2O2/L) = 0.50 moles H2O2
[M is the abbreviation for moles/liter]
Therefore we have (0.50 moles H2O2)*(0.5 moles O2/moles H2O2 ) = 0.25 moles O2
All gases occupy 22.4 liters/mole at STP. We can use this as a conversion factor.
(0.25 moles O2)*(22.4 liters/mole O2) = 5.6 liters O2
Wow - sounds like a lot of oxygen for only having started with 250 ml of hydrogen peroxide, but the difference in densities should explain the difference.
Bob