Which has the highest number of oxygen atoms?
`1gO_(2) or 1gO_(3) or 1gO`

Options

A. `1gO_(2)`
B. `1gO_(3)`
C. `1gO`
D. All have same atoms

Answer

To determine which of the substances (1g O2, 1g O3, or 1g O) has the highest number of oxygen atoms, we will calculate the number of moles of oxygen in each case and then use Avogadro's number to find the total number of oxygen atoms.

### Step 1: Calculate the number of moles of oxygen in 1g of O.

- The molar mass of oxygen (O) is 16 g/mol.
- To find the number of moles in 1g of O:

\[ \text{Moles of O} = \frac{\text{mass}}{\text{molar mass}} = \frac{1 \text{ g}}{16 \text{ g/mol}} = \frac{1}{16} \text{ moles} \]

### Step 2: Calculate the number of oxygen atoms in 1g of O.

- Using Avogadro's number (6.022 x 10²³ atoms/mol):

\[ \text{Number of atoms in 1g O} = \left(\frac{1}{16} \text{ moles}\right) \times (6.022 \times 10^{23} \text{ atoms/mol}) \approx 3.76 \times 10^{22} \text{ atoms} \]

### Step 3: Calculate the number of moles of oxygen in 1g of O2.

- The molar mass of O2 is 32 g/mol (16 g/mol for each O atom).
- To find the number of moles in 1g of O2:

\[ \text{Moles of O2} = \frac{1 \text{ g}}{32 \text{ g/mol}} = \frac{1}{32} \text{ moles} \]

### Step 4: Calculate the number of oxygen atoms in 1g of O2.

- Each molecule of O2 contains 2 oxygen atoms:

\[ \text{Number of atoms in 1g O2} = \left(\frac{1}{32} \text{ moles}\right) \times (6.022 \times 10^{23} \text{ atoms/mol}) \times 2 \approx 3.76 \times 10^{22} \text{ atoms} \]

### Step 5: Calculate the number of moles of oxygen in 1g of O3.

- The molar mass of O3 is 48 g/mol (16 g/mol for each O atom).
- To find the number of moles in 1g of O3:

\[ \text{Moles of O3} = \frac{1 \text{ g}}{48 \text{ g/mol}} = \frac{1}{48} \text{ moles} \]

### Step 6: Calculate the number of oxygen atoms in 1g of O3.

- Each molecule of O3 contains 3 oxygen atoms:

\[ \text{Number of atoms in 1g O3} = \left(\frac{1}{48} \text{ moles}\right) \times (6.022 \times 10^{23} \text{ atoms/mol}) \times 3 \approx 3.76 \times 10^{22} \text{ atoms} \]

### Conclusion:

From the calculations:
- Number of oxygen atoms in 1g O: \( \approx 3.76 \times 10^{22} \) atoms
- Number of oxygen atoms in 1g O2: \( \approx 3.76 \times 10^{22} \) atoms
- Number of oxygen atoms in 1g O3: \( \approx 3.76 \times 10^{22} \) atoms

All three substances (1g O, 1g O2, and 1g O3) contain the same number of oxygen atoms, which is approximately \( 3.76 \times 10^{22} \) atoms.

### Final Answer:
All three options have the same number of oxygen atoms.

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