To determine which of the options represent 32 grams of a substance, we will analyze each option step by step.
### Step 1: Analyze Option 1 - One mole of Oxygen (O2)
- The molar mass of O2 (oxygen gas) is calculated as follows:
- Oxygen has an atomic mass of approximately 16 g/mol.
- Therefore, for O2:
\[
\text{Molar mass of } O2 = 2 \times 16 \, \text{g/mol} = 32 \, \text{g/mol}
\]
- Since one mole of O2 weighs 32 grams, this option represents 32 grams of the substance.
### Step 2: Analyze Option 2 - One gram atom of Sulfur (S)
- One gram atom of sulfur is equivalent to one mole of sulfur atoms.
- The atomic mass of sulfur is approximately 32 g/mol.
- Thus, one mole of sulfur weighs:
\[
\text{Weight of one mole of S} = 32 \, \text{g}
\]
- Therefore, this option also represents 32 grams of the substance.
### Step 3: Analyze Option 3 - 22.4 dm³ of O2 gas at STP
- At standard temperature and pressure (STP), one mole of any gas occupies 22.4 liters (or 22.4 dm³).
- Since we know that one mole of O2 weighs 32 grams, and 22.4 dm³ corresponds to one mole of O2:
\[
\text{Weight of 22.4 dm³ of O2} = 32 \, \text{g}
\]
- Thus, this option also represents 32 grams of the substance.
### Step 4: Analyze Option 4 - One gram mole of Sulfur molecules (S8)
- One gram mole of sulfur molecules refers to one mole of S8 (sulfur in its molecular form).
- The molar mass of S8 can be calculated as:
\[
\text{Molar mass of } S8 = 8 \times 32 \, \text{g/mol} = 256 \, \text{g/mol}
\]
- Therefore, one mole of S8 weighs 256 grams, which does not represent 32 grams of the substance.
### Conclusion:
- Options 1, 2, and 3 represent 32 grams of the substance.
- Option 4 does not represent 32 grams of the substance.
### Final Answer:
Options 1, 2, and 3 represent 32 grams of the substance.
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