A sample of a polymer contains 200 molecules of molecular mass `10^(3)` each, 300 molecules of molecular mass `10^(4)` each and 500 molecules each having `10^(5)` as molecular mass. Calculate `bar(M)_(N)` and `bar(M)_(W)` for the sample

Explanation

To calculate the number average molecular weight (\( \bar{M}_N \)) and the weight average molecular weight (\( \bar{M}_W \)) for the given polymer sample, we will follow these steps:

### Step 1: Identify the molecular masses and quantities
- Molecular mass \( M_1 = 10^3 \) g/mol, number of molecules \( N_1 = 200 \)
- Molecular mass \( M_2 = 10^4 \) g/mol, number of molecules \( N_2 = 300 \)
- Molecular mass \( M_3 = 10^5 \) g/mol, number of molecules \( N_3 = 500 \)

### Step 2: Calculate the total number of molecules
...