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1 litre of 30 volume-hydrogen peroxide c...

`1` litre of `30` volume-hydrogen peroxide contains `91.07g H_2O_2`.

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To determine whether the statement "1 litre of 30 volume hydrogen peroxide contains 91.07g H₂O₂" is true or false, we can follow these steps: ### Step 1: Understand the concept of volume strength Volume strength of hydrogen peroxide indicates the volume of oxygen gas released when 1 volume of hydrogen peroxide decomposes. For instance, 1 volume of H₂O₂ releases 5.6 volumes of O₂. ### Step 2: Calculate the normality of 30 volume hydrogen peroxide We know that: - 5.6 volume of H₂O₂ corresponds to 1 normality (N). - Therefore, for 30 volume of H₂O₂, we can calculate the normality as follows: \[ \text{Normality} = \frac{30}{5.6} \text{ N} \] ### Step 3: Calculate the molarity from normality Normality (N) is related to molarity (M) by the equation: \[ \text{Normality} = \text{Molarity} \times n \text{ factor} \] For hydrogen peroxide (H₂O₂), the n factor is 2 (since it can donate 2 moles of electrons). Thus, we can express molarity as: \[ \text{Molarity} = \frac{\text{Normality}}{n \text{ factor}} = \frac{\frac{30}{5.6}}{2} \] ### Step 4: Calculate the number of moles in 1 litre Using the molarity we calculated, we can find the number of moles (n) in 1 litre: \[ \text{Number of moles} = \text{Molarity} \times \text{Volume in litres} = \left(\frac{30}{5.6 \times 2}\right) \times 1 \] ### Step 5: Calculate the molecular weight of hydrogen peroxide The molecular weight of H₂O₂ can be calculated as follows: - Atomic mass of H = 1 (there are 2 H atoms) - Atomic mass of O = 16 (there are 2 O atoms) \[ \text{Molecular weight of H₂O₂} = (2 \times 1) + (2 \times 16) = 2 + 32 = 34 \text{ g/mol} \] ### Step 6: Calculate the mass of hydrogen peroxide Now, we can find the mass of hydrogen peroxide using the number of moles and its molecular weight: \[ \text{Mass of H₂O₂} = \text{Number of moles} \times \text{Molecular weight} = \left(\frac{30}{5.6 \times 2}\right) \times 34 \] ### Step 7: Solve for the mass Now, we can simplify and calculate: \[ \text{Mass of H₂O₂} = \left(\frac{30}{11.2}\right) \times 34 \approx 91.07 \text{ g} \] ### Conclusion Since we calculated the mass of hydrogen peroxide to be approximately 91.07 grams, we can conclude that the statement is true.

To determine whether the statement "1 litre of 30 volume hydrogen peroxide contains 91.07g H₂O₂" is true or false, we can follow these steps: ### Step 1: Understand the concept of volume strength Volume strength of hydrogen peroxide indicates the volume of oxygen gas released when 1 volume of hydrogen peroxide decomposes. For instance, 1 volume of H₂O₂ releases 5.6 volumes of O₂. ### Step 2: Calculate the normality of 30 volume hydrogen peroxide We know that: - 5.6 volume of H₂O₂ corresponds to 1 normality (N). ...
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