M_i (g/mol) w_i (g) n_i (mol) (w_I)(M_I)
15000 0.1 6.67E-06 1500
27000 0.19 7.04E-06 5130
w_
i
39000 0.25
56000 0.17
78000 0.12
104000 0.08
120000 0.06
153000 0.04
6.41E-06 9750
3.04E-06 9520
1.54E-06 9360
7.69E-07 8320
5.00E-07 7200
2.61E-07 6120
M_n = 38522
M_w = 56337
M_n = sum( n_I * M_I) / sum (n_I) = sum (w_I) / sum (n_I)
M_w = sum (w_I * M_i) / sum (w_I)
0.3
0.25
0.2
0.15
0.1
0.05
0
0 50000 100000 150000 200000
M_i
15000 0.1 6.67E-06 1500
27000 0.19 7.04E-06 5130
w_
i
39000 0.25
56000 0.17
78000 0.12
104000 0.08
120000 0.06
153000 0.04
6.41E-06 9750
3.04E-06 9520
1.54E-06 9360
7.69E-07 8320
5.00E-07 7200
2.61E-07 6120
M_n = 38522
M_w = 56337
M_n = sum( n_I * M_I) / sum (n_I) = sum (w_I) / sum (n_I)
M_w = sum (w_I * M_i) / sum (w_I)
0.3
0.25
0.2
0.15
0.1
0.05
0
0 50000 100000 150000 200000
M_i