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Number of \(\mathrm{P}-\mathrm{O}\) bonds in \(\mathrm{P}_{4} \mathrm{O}_{10}\) is (a) 17 (b) 16 (c) 15 (d) 6

Short Answer

Expert verified
The number of \(P-O\) bonds in \(P_4O_{10}\) is 16.

Step by step solution

01

Understanding the Molecular Structure

The molecule \(P_4O_{10}\) is composed of 4 phosphorus atoms and 10 oxygen atoms. In this molecule, each phosphorus atom is typically bonded to four oxygen atoms in a characteristic structural form.
02

Exploring the Central Units

In \(P_4O_{10}\), visualize it as containing \(P-O-P\) bridges between phosphorus atoms and separate terminal oxygen (O) atoms completing the bonding for each phosphorus. The overall structure can be envisioned as two \(P_2O_5\) units sharing oxygen atoms.
03

Counting the \\(P-O\\) bonds in One \\([\mathrm{PO}_4]\) Unit

Each \(P\) atom in \(P_4O_{10}\) forms 1 \(P-O-P\) bond and 3 bonds with terminal oxygen atoms. This implies that every \([\mathrm{PO}_4]\) unit completes with 4 such bonds per phosphorus atom.
04

Calculating the Total Number of \\(P-O\\) Bonds

Given there are 4 phosphorous atoms and each forms 4 \(P-O\) bonds, multiply to find the total number of bonds: \ 4 \, \text{phosphorous atoms} \times 4 \, \text{bonds/atom} = 16 \, \text{bonds}.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Molecular Structure
The molecular structure of phosphorus pentoxide, represented as \( P_4O_{10} \), is peculiar and quite distinct. This molecular formula comprises four phosphorus (\( P \)) atoms and ten oxygen (\( O \)) atoms, forming a complex arrangement.
Constructed as two \( P_2O_5 \) units fused together, \( P_4O_{10} \) is not simply a flat structure but is instead three-dimensional. The central part of this structure features a \( P-O-P \) linkage, where oxygens bridge the phosphorus atoms.
Outside these bridges, each phosphorus atom is bonded to additional terminal (end) oxygen atoms, completing its coordination. Each phosphorus is therefore effectively surrounded by a tetrahedral arrangement, consisting of one \( P-O-P \) bridge and additional \( P-O \) bonds with terminal oxygens. This unique setup ultimately influences the molecule’s chemical behavior and properties.
Chemical Bonding
Chemical bonding in phosphorus pentoxide revolves around the connections between phosphorus and oxygen atoms. Phosphorus atoms in this compound exhibit bonds to a total of four oxygen atoms.
One type of bonding present is the typical single covalent \( P-O \) bond. Additionally, there is a distinct \( P-O-P \) bridge formed by sharing oxygen atoms between two phosphorus centers.
Such a structure is indicative of phosphorus reaching its preferred oxidation state, as each phosphorus atom forms bonds that ensure a complete coordination number of four. The bonds contribute not only to the stability of phosphorus pentoxide but enable it to participate in various chemical reactions, especially those involving hydrolysis.
P-O Bonds in P4O10
The \( P-O \) bonds in \( P_4O_{10} \) include both terminal and bridging bonds, forming a robust and interlinked network.
In this molecule, the phosphorus atoms form one \( P-O \) bond with another phosphorus atom through an oxygen bridge, called the \( P-O-P \) bridge. Additionally, each phosphorus atom attaches to three more terminal oxygen atoms.
  • Each \( P-O-P \) bridge accounts for one bond.
  • Each phosphorus atom features three terminal bonds, summing to 12 terminal bonds for the entire \( P_4O_{10} \) structure.
When all \( P-O \) bonds are totaled, the entire compound yields 16 individual bonds. This extensive framework of bonds accounts for the solid nature and reactive character of phosphorus pentoxide in various chemical processes.

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Most popular questions from this chapter

When anions and cations approach each other, the valence shell of anions are pulled towards cation nucleus and thus, shape of anion is deformed. The phenomenon of deformation of anion by a cation is known as polarization and the ability of the cation to polarize the anion is called as polarizing power of cation. Due to polarization, sharing of electrons occurs between two ions to some extent and the bond shows some covalent character. Considering \(\mathrm{BeCl}_{2}, \mathrm{MgCl}_{2}, \mathrm{CaCl}_{2}\) and \(\mathrm{BaCl}_{2}\), predict which of the following statement is true? (a) Covalent character increases as the atomic number of the metal atom increases (b) \(\mathrm{BeCl}_{2}\) is least ionic out of the given chlorides. (c) \(\mathrm{BeCl}_{2}\) has the highest melting point among the given chlorides. (d) All are highly ionic compound.

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