Answer :
Theoretical mass (O₂)= H₂O₂ Volume× H₂O₂ density× {( 1 mol O₂)/(2 mol H2O2)}×{( mol of H₂O₂ /g H₂O₂ )}
H2O2 Volume= 5 ml
Known density( H₂O₂ )= 1.02 g/ml
Molar mass ( H₂O₂ )= 34.01 g/mol
Reciprocal molar mass( H₂O₂ )= 0.0294
Theoretical mass( O₂)= 5×1.02× 0.0294× 1/2= 0.0749 moles
Actual moles of O₂ and percentage of H₂O₂
P= 753 mm Hg×1 atm/760 mm Hg= 0.991 atm
V= 45 ml× 1L /1000 ml= 0.045 L
n= PV/RT
Actual moles ( O₂)= (0.991×0.045)/(0.0821×296 K)= 0.0445/24.3016= 1.8×10^-3 moles
Percentage ( H₂O₂ )= Theoretical moles(O₂)×100= 0.0749×100= 7.49%
Mass of H₂O₂ (percent)= 3%
Concentration by mass( H₂O₂ )= 3 gm H2O in 100 ml of H2O
Volume ( H₂O₂ )= 100 ml
1 mol ( H₂O₂ )= 34.02 g O2
(3g H₂O₂ /100 ml Solution)×( 1 mol H₂O₂ /34.02 g H2O2)
No. Of moles ( H₂O₂ )= 0.088 moles
Mass ( H₂O₂ )= 0.088 moles × 34.02 = 2.99 g
% H₂O₂ = (2.99 g H₂O₂ /100 ml Solution)×100= 2.99%
% error= (% H₂O₂ from the bottle-experiment % H₂O₂ )/(% H₂O₂ from bottle)×100
=[ (3-2.99)/(3) ]× 100= 0.34% error.
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