A polydisperse sample of polystyrene is prepared by mixing four monodisperse samples in the following proportions:
- 100 polymer chains with 10,000 g/mol molecular weight
- 250 polymer chains with 20,000 g/mol molecular weight
- 250 polymer chains with 50,000 g/mol molecular weight
- 100 polymer chains with 100,000 g/mol molecular weight
Using this information, what is the number-average molecular weight (Mn) of the mixture?
a. 40,714 g/mol
b. 53,820 g/mol
c. 36,809 g/mol
d. 25,712 g/mol
e. 62,805 g/mol