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In PO(4)^(3-) ion, the effective charge ...

In `PO_(4)^(3-)` ion, the effective charge on each oxygen atom and P-O bond order respectively are

A

`-0.75, 1.25`

B

`-0.75 , 1.0`

C

`-0.75 , 0.6`

D

`-3, 1.25`

Text Solution

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The correct Answer is:
To determine the effective charge on each oxygen atom and the P-O bond order in the \( PO_4^{3-} \) ion, we can follow these steps: ### Step 1: Determine the structure of \( PO_4^{3-} \) The \( PO_4^{3-} \) ion consists of one phosphorus (P) atom and four oxygen (O) atoms. The phosphorus atom is centrally located, and the oxygen atoms are arranged around it. The ion has a total of three negative charges. ### Step 2: Calculate the effective charge on each oxygen atom The effective charge (or formal charge) on an oxygen atom can be calculated using the formula: \[ \text{Formal Charge} = \text{Valence Electrons} - \text{Non-bonding Electrons} - \frac{1}{2} \times \text{Bonding Electrons} \] In the case of \( PO_4^{3-} \): - Each oxygen atom typically has 6 valence electrons. - In the structure, we have 3 oxygen atoms with a -1 charge (O⁻) and 1 oxygen atom with a double bond to phosphorus (P=O). Given that there are 3 negative charges distributed among the 4 oxygen atoms, we can calculate the effective charge on each oxygen atom as follows: \[ \text{Effective Charge} = \frac{\text{Total Negative Charge}}{\text{Number of Oxygen Atoms}} = \frac{-3}{4} = -0.75 \] ### Step 3: Determine the bond order of the P-O bond The bond order can be calculated using the formula: \[ \text{Bond Order} = \frac{\text{Total Number of Bonds}}{\text{Number of Resonating Structures}} \] In \( PO_4^{3-} \): - The total number of bonds between phosphorus and oxygen is 5 (1 double bond and 3 single bonds). - The number of resonating structures can be determined by considering the different ways the negative charges can be distributed among the oxygen atoms. There are 4 possible resonating structures. Thus, the bond order is calculated as follows: \[ \text{Bond Order} = \frac{5}{4} = 1.25 \] ### Final Answer - The effective charge on each oxygen atom is \( -0.75 \). - The P-O bond order is \( 1.25 \).
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