Question

Using the definitions for total chain molecule length L and average chain end-to-end distance r, for a linear polyethylene determine the following:

the number-average molecular weight for L = 2500 nm

Answer 1

The number-average molecular weight for a linear polyethylene with a total chain molecule length of 2500 nm is approximately 4166.67 g/mol.

Step-by-step explanation:

The number-average molecular weight for a linear polyethylene with a total chain molecule length L of 2500 nm can be calculated using the equation: Mn = L / r

Where Mn is the number-average molecular weight, L is the total chain molecule length, and r is the average chain end-to-end distance.

For polyethylene, the average chain end-to-end distance r can be estimated to be approximately 0.6 nm. Using this value, we can calculate the number-average molecular weight as:

Mn = 2500 nm / 0.6 nm = 4166.67 g/mol

The number-average molecular weight for a linear polyethylene with a total chain molecule length of 2500 nm is approximately 4166.67 g/mol.