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Which has minnimum number of oxygen ato...

Which has minnimum number of oxygen atom ?

A

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

B

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

C

12 gm `O_(3)(g)`

D

`12.044 xx 10^(22) " molecules of " CO_(2)`

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The correct Answer is:
To determine which option has the minimum number of oxygen atoms, we will analyze each option step by step. ### Step 1: Calculate the number of oxygen atoms in 10 mL of liquid H2O 1. **Calculate the mass of water:** - Density of water = 1 g/mL - Volume of water = 10 mL - Mass of water = Density × Volume = 1 g/mL × 10 mL = 10 g 2. **Calculate the moles of water (H2O):** - Molecular mass of H2O = 18 g/mol - Moles of H2O = Mass / Molecular mass = 10 g / 18 g/mol = 0.5556 moles 3. **Calculate the number of molecules of water:** - Number of molecules = Moles × Avogadro's number = 0.5556 moles × 6.022 × 10²³ molecules/mol ≈ 3.34 × 10²³ molecules 4. **Calculate the number of oxygen atoms:** - Each molecule of H2O contains 1 oxygen atom. - Therefore, number of oxygen atoms = Number of molecules = 3.34 × 10²³ oxygen atoms. ### Step 2: Calculate the number of oxygen atoms in 0.1 moles of V2O5 1. **Calculate the number of molecules of V2O5:** - Moles of V2O5 = 0.1 moles - Number of molecules = 0.1 moles × 6.022 × 10²³ molecules/mol = 6.022 × 10²² molecules 2. **Calculate the number of oxygen atoms:** - Each molecule of V2O5 contains 5 oxygen atoms. - Therefore, number of oxygen atoms = Number of molecules × 5 = 6.022 × 10²² × 5 = 30.11 × 10²² oxygen atoms. ### Step 3: Calculate the number of oxygen atoms in 12 g of O3 1. **Calculate the moles of O3:** - Molecular mass of O3 = 48 g/mol (16 g/mol × 3) - Moles of O3 = Mass / Molecular mass = 12 g / 48 g/mol = 0.25 moles 2. **Calculate the number of molecules of O3:** - Number of molecules = 0.25 moles × 6.022 × 10²³ molecules/mol = 1.505 × 10²³ molecules 3. **Calculate the number of oxygen atoms:** - Each molecule of O3 contains 3 oxygen atoms. - Therefore, number of oxygen atoms = Number of molecules × 3 = 1.505 × 10²³ × 3 = 4.515 × 10²³ oxygen atoms. ### Step 4: Calculate the number of oxygen atoms in 12.044 × 10²² molecules of CO2 1. **Calculate the number of oxygen atoms:** - Each molecule of CO2 contains 2 oxygen atoms. - Therefore, number of oxygen atoms = Number of molecules × 2 = 12.044 × 10²² × 2 = 24.088 × 10²² oxygen atoms. ### Conclusion: Now we summarize the number of oxygen atoms calculated for each option: - **H2O:** 3.34 × 10²³ oxygen atoms - **V2O5:** 30.11 × 10²² oxygen atoms - **O3:** 4.515 × 10²³ oxygen atoms - **CO2:** 24.088 × 10²² oxygen atoms The minimum number of oxygen atoms is from **H2O** with **3.34 × 10²³** oxygen atoms. ### Final Answer: **The option with the minimum number of oxygen atoms is 10 mL of liquid H2O.** ---
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