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In P(4)O(6) and P(4)O(10), the number of...

In `P_(4)O_(6) and P_(4)O_(10)`, the number of oxygen atoms bonded to each phosphorus atoms are reppectively-

A

3 and 3

B

4 and 4

C

3 and 4

D

4 and 3

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The correct Answer is:
To determine the number of oxygen atoms bonded to each phosphorus atom in \( P_4O_6 \) and \( P_4O_{10} \), we can analyze the structures of these compounds. ### Step 1: Analyze the structure of \( P_4O_6 \) 1. **Molecular Formula**: The molecular formula \( P_4O_6 \) indicates that there are 4 phosphorus (P) atoms and 6 oxygen (O) atoms. 2. **Structure**: In \( P_4O_6 \), the phosphorus atoms are arranged in a tetrahedral structure. Each phosphorus atom is bonded to oxygen atoms. 3. **Bonding**: In this structure, each phosphorus atom is bonded to 1 oxygen atom through a single bond and shares a double bond with another oxygen atom. 4. **Counting**: - Each phosphorus atom is bonded to 1 oxygen atom directly. - The total number of oxygen atoms is 6, and since there are 4 phosphorus atoms, we can conclude that each phosphorus atom is bonded to an average of 1.5 oxygen atoms. - However, in the case of \( P_4O_6 \), it can be seen that 3 out of the 4 phosphorus atoms are bonded to 2 oxygen atoms (one double bond and one single bond), and the last phosphorus is bonded to only one oxygen atom. ### Step 2: Analyze the structure of \( P_4O_{10} \) 1. **Molecular Formula**: The molecular formula \( P_4O_{10} \) indicates that there are 4 phosphorus atoms and 10 oxygen atoms. 2. **Structure**: In \( P_4O_{10} \), the phosphorus atoms are also arranged tetrahedrally, but with a different bonding pattern. 3. **Bonding**: Each phosphorus atom in \( P_4O_{10} \) is bonded to 4 oxygen atoms. This can be seen as each phosphorus atom forming double bonds with 4 oxygen atoms. 4. **Counting**: - Since there are 4 phosphorus atoms and each is bonded to 4 oxygen atoms, the total number of oxygen atoms bonded to phosphorus is 4 for each phosphorus atom. ### Conclusion - For \( P_4O_6 \): Each phosphorus atom is bonded to an average of 1.5 oxygen atoms. - For \( P_4O_{10} \): Each phosphorus atom is bonded to 4 oxygen atoms. Thus, the number of oxygen atoms bonded to each phosphorus atom in \( P_4O_6 \) and \( P_4O_{10} \) are respectively 1.5 and 4. ### Final Answer - In \( P_4O_6 \): 1.5 oxygen atoms per phosphorus atom. - In \( P_4O_{10} \): 4 oxygen atoms per phosphorus atom.
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