13.6
3.4
34
1.7
Correct option is B. 3.4
11.2 volume solution of H₂O₂ means that 1 volume of H₂O₂ solution gives 11.2 volumes of O₂ at STP.
The balanced chemical equation for the decomposition of H₂O₂ is:
2H₂O₂ → 2H₂O + O₂
From the stoichiometry, 2 moles of H₂O₂ produce 1 mole of O₂.
At STP, 1 mole of any gas occupies 22.4 L.
Let's consider 1 L of 11.2 volume H₂O₂ solution. It will produce 11.2 L of O₂ at STP.
Number of moles of O₂ produced = Volume of O₂ at STP / Molar volume at STP = 11.2 L / 22.4 L/mol = 0.5 mol
From the stoichiometry, 2 moles of H₂O₂ produce 1 mole of O₂.
Therefore, moles of H₂O₂ in 1 L solution = 2 × moles of O₂ = 2 × 0.5 mol = 1 mol
Mass of H₂O₂ in 1 L solution = moles × molar mass = 1 mol × (2 × 1 + 2 × 16) g/mol = 34 g
Strength of H₂O₂ solution = (Mass of H₂O₂ / Volume of solution) × 100 = (34 g / 1 L) × 100 = 3.4 %