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STATEMENT -1 : In 32 g of O(2), two gram...

STATEMENT -1 : In 32 g of `O_(2)`, two gram of oxygen atom are present.
and
STATEMENT -2 : Molecular weight of `O_(2)` will be 32 g.

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for Statmenet -1.

B

Statement -1 is True, Statement -2 is True, Statement-2 is NOT a correct explanation for Statement -10

C

Statement -1 is True, Statement -2 is False

D

Statement -1 is False, Statmenet -2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will evaluate each statement step by step. ### Step 1: Evaluate Statement 1 **Statement 1:** In 32 g of O₂, 2 g of oxygen atoms are present. 1. **Understanding the composition of O₂:** - The molecular formula O₂ indicates that each molecule contains 2 oxygen atoms. - The molar mass of O₂ is 32 g/mol (since each oxygen atom has a molar mass of approximately 16 g/mol). 2. **Calculating the number of moles of O₂:** \[ \text{Number of moles of O₂} = \frac{\text{Given mass}}{\text{Molar mass}} = \frac{32 \text{ g}}{32 \text{ g/mol}} = 1 \text{ mole} \] 3. **Calculating the number of moles of oxygen atoms:** - Since 1 mole of O₂ contains 2 moles of oxygen atoms: \[ \text{Number of moles of oxygen atoms} = 1 \text{ mole O₂} \times 2 = 2 \text{ moles of O atoms} \] 4. **Calculating the mass of oxygen atoms:** - The mass of oxygen atoms can be calculated as: \[ \text{Mass of oxygen atoms} = \text{Number of moles} \times \text{Molar mass} = 2 \text{ moles} \times 16 \text{ g/mol} = 32 \text{ g} \] 5. **Conclusion for Statement 1:** - The statement claims that in 32 g of O₂, 2 g of oxygen atoms are present. However, we found that there are actually 32 g of oxygen atoms present. Therefore, **Statement 1 is false**. ### Step 2: Evaluate Statement 2 **Statement 2:** Molecular weight of O₂ will be 32 g. 1. **Understanding molecular weight:** - The molecular weight (or molar mass) of a substance is the mass of one mole of that substance. - For O₂, the molecular weight is calculated as: \[ \text{Molecular weight of O₂} = 2 \times 16 \text{ g/mol} = 32 \text{ g/mol} \] 2. **Conclusion for Statement 2:** - The statement correctly states that the molecular weight of O₂ is 32 g/mol. Therefore, **Statement 2 is true**. ### Final Conclusion - **Statement 1:** False - **Statement 2:** True ### Summary of Results - Statement 1 is false because it incorrectly states the mass of oxygen atoms in 32 g of O₂. - Statement 2 is true as it correctly states the molecular weight of O₂.
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