Statement 1:`PDI`(polydispersity index)of natural polymer is unity,while that of syntheric polymer is greater than unity
Statement 2:Natural polymers are hemogeneous.

Options

A. Statement `1` is true ,statement `2`is true,statement`2`is the correct explanation of statement`1`
B. Statement `1` is true ,statement `2`is true,statement`2`is not the correct explanation of statement`1`
C. Statement `1` is true ,statement `2`is false
D. Statement `1` is false,statement `2`is true

Answer

To solve the question, we will analyze both statements regarding the polydispersity index (PDI) of natural and synthetic polymers.

### Step-by-Step Solution:

**Step 1: Understand the Polydispersity Index (PDI)**
The PDI is a measure of the distribution of molecular mass in a given polymer sample. It is calculated using the formula:
\[ \text{PDI} = \frac{M_w}{M_n} \]
where \( M_w \) is the weight average molecular weight and \( M_n \) is the number average molecular weight.

**Step 2: Analyze Statement 1**
Statement 1 claims that the PDI of natural polymers is unity, while that of synthetic polymers is greater than unity.
- For natural polymers, which are typically homogeneous, the molecular weight distribution is narrow, leading to a PDI of 1.
- For synthetic polymers, the molecular weight distribution is broader due to variations in polymerization, resulting in a PDI greater than 1.
Thus, Statement 1 is **True**.

**Step 3: Analyze Statement 2**
Statement 2 states that natural polymers are homogeneous.
- Natural polymers, such as proteins and polysaccharides, often have a uniform structure and composition, making them homogeneous in nature.
Therefore, Statement 2 is also **True**.

**Step 4: Conclusion**
Both statements are true, and Statement 2 provides a valid reason for Statement 1. Thus, the correct answer is that both statements are true, and Statement 2 justifies Statement 1.

### Final Answer:
Both Statement 1 and Statement 2 are true. Statement 2 justifies Statement 1.

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