Sum of nitrogen atom in the monomers of nylon-6, and nylon-6,6 is x and sum of carbon atoms in them is 'y'. Then `(y)/(x)` is

Explanation

To solve the problem, we need to determine the sum of nitrogen and carbon atoms in the monomers of nylon-6 and nylon-6,6, and then calculate the ratio \( \frac{y}{x} \).

### Step 1: Identify the monomers of nylon-6 and nylon-6,6
- **Nylon-6** is made from a single monomer called caprolactam.
- **Nylon-6,6** is made from two monomers: adipic acid and hexamethylenediamine.

### Step 2: Count the nitrogen atoms in the monomers
- **Nylon-6 (caprolactam)**: Contains **1 nitrogen atom**.
- **Nylon-6,6 (adipic acid + hexamethylenediamine)**: Contains **2 nitrogen atoms** (1 from hexamethylenediamine).

**Total nitrogen atoms (x)**:
\[ x = 1 + 2 = 3 \]

### Step 3: Count the carbon atoms in the monomers
- **Nylon-6 (caprolactam)**: Contains **6 carbon atoms** (5 from the carbon chain and 1 from the carbonyl group).
- **Nylon-6,6 (adipic acid + hexamethylenediamine)**:
- Adipic acid has **6 carbon atoms**.
- Hexamethylenediamine has **6 carbon atoms**.

**Total carbon atoms (y)**:
\[ y = 6 + 6 = 12 \]

### Step 4: Calculate the total number of carbon atoms in both monomers
- The total number of carbon atoms in nylon-6 and nylon-6,6 is:
\[ y = 6 + 12 = 18 \]

### Step 5: Calculate the ratio \( \frac{y}{x} \)
Now we can calculate the ratio:
\[ \frac{y}{x} = \frac{18}{3} = 6 \]

### Final Answer
Thus, the value of \( \frac{y}{x} \) is **6**.

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