Zeolites are minerals of the composition `M_((x/n)) [[AlO_2]_x (SiO_2)_y].ZH_2O`
Where 'n' is the charge on the metal cation. These structure contain various ring which results in formation of a fairly open structure containing channels and cavities at molecular level (2 to 11A) in diameter). They may be used to trap molecules of various sizes, this makes them very useful as "Selective absorbants" or as "molecular sieves". In the structure of zeolites:
(A) Each Al atom is attached to 'p' oxygen atoms directly
(B) Each Si atom is attached to 'q' oxygen atoms directly
(C) Each Al atom is attached to 'r' Si atoms directly
(D) Each O atom will use 't' difference hybridized orbitals.
Find (p+q+r+t)

Explanation

To solve the problem, we need to analyze the structure of zeolites and determine the values of \( p \), \( q \), \( r \), and \( t \) based on the information provided.

### Step 1: Determine \( p \)
- Each aluminum (Al) atom in zeolites is tetrahedrally coordinated, meaning it is bonded to four oxygen (O) atoms.
- Therefore, the value of \( p \) is:
\[ p = 4 \]

### Step 2: Determine \( q \)
- Each silicon (Si) atom is also tetrahedrally coordinated and is similarly bonded to four oxygen (O) atoms.
- Thus, the value of \( q \) is:
\[ q = 4 \]

### Step 3: Determine \( r \)
- The question states that each aluminum atom is attached to \( r \) silicon atoms directly. However, in the zeolite structure, aluminum and silicon are not directly bonded to each other; they are connected through oxygen atoms.
- Therefore, the value of \( r \) is:
\[ r = 0 \]

### Step 4: Determine \( t \)
- Each oxygen atom in the zeolite structure is involved in bonding and uses hybridization. In the case of oxygen, it typically undergoes \( sp^3 \) hybridization when forming bonds with aluminum and silicon.
- This means that oxygen uses two types of orbitals: one \( s \) orbital and three \( p \) orbitals.
- Thus, the value of \( t \) is:
\[ t = 2 \]

### Step 5: Calculate the sum \( p + q + r + t \)
- Now, we can calculate the sum of \( p \), \( q \), \( r \), and \( t \):
\[ p + q + r + t = 4 + 4 + 0 + 2 = 10 \]

### Final Answer
The final answer is:
\[ \boxed{10} \]