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Which has maximum number of atoms of oxy...

Which has maximum number of atoms of oxygen

A

10 ml `H_(2)O(l)`

B

0.1 mole of `V_(2)O_(5)`

C

12 gm `O_(3)(g)`

D

`12.044 times 10^(22)` molecule of `CO_(2)`

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The correct Answer is:
To solve the problem of determining which option has the maximum number of oxygen atoms, we will analyze each option step by step. ### Given Options: 1. **10 ml of S2O (liquid)** 2. **0.1 moles of B2O5** 3. **12 grams of O3 (gas)** 4. **12.044 × 10^22 molecules of CO2** ### Step 1: Calculate the number of oxygen atoms in **10 ml of S2O**. 1. **Convert volume to moles**: - The molar volume of a gas at STP is 22.4 L or 22,400 ml. - Moles of S2O = Volume (ml) / Molar Volume (ml) = 10 ml / 22,400 ml = 0.000446 moles. 2. **Determine moles of oxygen**: - S2O has 1 oxygen atom per molecule. - Therefore, moles of oxygen = moles of S2O = 0.000446 moles. 3. **Convert moles of oxygen to atoms**: - Number of atoms = moles × Avogadro's number = 0.000446 moles × 6.022 × 10^23 atoms/mole ≈ 2.686 × 10^20 atoms. ### Step 2: Calculate the number of oxygen atoms in **0.1 moles of B2O5**. 1. **Determine moles of oxygen**: - B2O5 has 5 oxygen atoms per molecule. - Therefore, moles of oxygen = 5 × moles of B2O5 = 5 × 0.1 = 0.5 moles. 2. **Convert moles of oxygen to atoms**: - Number of atoms = 0.5 moles × 6.022 × 10^23 atoms/mole ≈ 3.011 × 10^23 atoms. ### Step 3: Calculate the number of oxygen atoms in **12 grams of O3**. 1. **Calculate moles of O3**: - Molar mass of O3 = 3 × 16 g/mol = 48 g/mol. - Moles of O3 = mass (g) / molar mass (g/mol) = 12 g / 48 g/mol = 0.25 moles. 2. **Determine moles of oxygen**: - O3 has 3 oxygen atoms per molecule. - Therefore, moles of oxygen = 3 × moles of O3 = 3 × 0.25 = 0.75 moles. 3. **Convert moles of oxygen to atoms**: - Number of atoms = 0.75 moles × 6.022 × 10^23 atoms/mole ≈ 4.517 × 10^23 atoms. ### Step 4: Calculate the number of oxygen atoms in **12.044 × 10^22 molecules of CO2**. 1. **Calculate moles of CO2**: - Moles of CO2 = 12.044 × 10^22 molecules / 6.022 × 10^23 molecules/mole ≈ 0.1999 moles. 2. **Determine moles of oxygen**: - CO2 has 2 oxygen atoms per molecule. - Therefore, moles of oxygen = 2 × moles of CO2 = 2 × 0.1999 ≈ 0.3998 moles. 3. **Convert moles of oxygen to atoms**: - Number of atoms = 0.3998 moles × 6.022 × 10^23 atoms/mole ≈ 2.4079 × 10^23 atoms. ### Summary of Results: - **S2O**: ≈ 2.686 × 10^20 atoms - **B2O5**: ≈ 3.011 × 10^23 atoms - **O3**: ≈ 4.517 × 10^23 atoms - **CO2**: ≈ 2.4079 × 10^23 atoms ### Conclusion: The maximum number of oxygen atoms is found in **12 grams of O3**, which has approximately **4.517 × 10^23 atoms**. ### Final Answer: **The option with the maximum number of oxygen atoms is 12 grams of O3.** ---
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