balance the equation
O2 + C3H6O2 >> CO2 + H20
then convert 3.7kg to moles of C3H6O2, I assume you can do that.
Now from the balanced coefficents, you know how many moles of O2 was needed, then convert moles to stp volume.
Calculate the volume of oxygen at STP required to burn 3.7 kg C3H6O2 producing CO2 & H2O:
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