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Q3.32(d):
Predict the formulas of the stable binary compounds that would be formed by the combination of the following pairs of elements. (d) Silicon and oxygen

Solution :

Step 1: Identification of Electronic Configuration and Valency

To determine the chemical formula, we first identify the valence electrons and the group membership of the elements involved, per the Octet Rule [The tendency of atoms to prefer to have eight electrons in the valence shell].

  • Silicon ($Si$): Atomic number $Z = 14$. The electronic configuration is $1s^2 2s^2 2p^6 3s^2 3p^2$. Silicon has 4 valence electrons in the outermost shell. To achieve a stable octet, it typically exhibits a valency of 4 ($Si^{4+}$).
  • Oxygen ($O$): Atomic number $Z = 8$. The electronic configuration is $1s^2 2s^2 2p^4$. Oxygen has 6 valence electrons and requires 2 electrons to complete its octet, thus exhibiting a valency of 2 ($O^{2-}$).

Step 2: Determining the Combining Ratio

The chemical formula of a binary compound is derived by balancing the total positive and negative charges to achieve electrical neutrality [Principle of Electroneutrality].

Let the formula be $Si_x O_y$. The cross-multiplication of valencies is as follows:

Element Valency
$Si$ $4$
$O$ $2$

Applying the crossover rule: $Si_2 O_4$.

Step 3: Simplification to Empirical Formula

The ratio of atoms must be expressed in the simplest whole-number integers [Law of Multiple Proportions].

Divide the subscripts by their greatest common divisor (GCD), which is 2:

$\frac{2}{2} : \frac{4}{2} = 1 : 2$

Thus, the empirical formula is $SiO_2$.

Visual Representation of Silicon Dioxide Structure

Si O O Molecular Geometry: Linear-Tetrahedral Linkage

Structural Context

In the solid state, silicon dioxide (silica) exists as a three-dimensional covalent network solid. Each silicon atom is tetrahedrally coordinated to four oxygen atoms, and each oxygen atom is bonded to two silicon atoms, resulting in the continuous lattice structure represented by the empirical formula $SiO_2$.

Final Solution: The formula of the stable binary compound formed by Silicon and Oxygen is $SiO_2$ (Silicon Dioxide).


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