CH 361/361H Example of Finding % Polymerization for sample after equilibration and GC analysis for ampule

% polymerization = (W initial - W final) / W initial X 100 %

Weight and GC Data for Stock Solutions:

Stock 1-ene	W1 = 0.887 g	WS = 0.949g
	A1 = 4.13 X 10 4	AS = 4.31 X 10 4
Stock 2-ene	W2 = 0.709 g	WS = 0.745 g
	A2 = 5.35 X 104	AS = 5.68 X 104

Response Factor Analysis

Relative response factor for 1- ene (eq. 9 , p 20 of lab manual):

P₁ / P_S = (A₁ / A_S) (W_S / W₁)

= (4.13 / 4.31) (0.949 / 0.887)

= 1.03

Relative response factor for 2 - ene:

P₂ / P_S = (A₂ / A_S) (W_S / W₂)

= (5.35 / 5.68) (0.745 / 0.709)

= 0.990

GC Data for Ampule run at 60 C 1-ene

A₁ = 5.87 X 10⁴

A₂ = 5.02 X 10⁵

A_S = 6.25 X 10⁵

The relative weights for both 1 - ene and 2 - ene in the ampule after equilibration are ( eq. 14, p 22 of lab manual):

W₁ / W_S = (A₁ / A_S) (P_S / P₁) and W₂ / W_S = (A₂ / A_S) (P_S / P₂)

Finally, use the GC areas from the analysis for the ampule after equilibration to find the % polymerization for that ampule:

% poly = (W initial - (A₁ / (P₁ / P_S) + A₂ / (P₂ / P_S)) W_S / A_S) / W initial X 100%

= (0.887 - (5.87 X 10⁴ / 1.03 + 5.02 X 10⁵ / 0.990) 0.949 / 6.25 X 10⁵) / 0.887 X 100

= (0.887 - (5.70 X 10⁴ + 5.07 X 10⁵)1.52 X 10 ^-6) / 0.887 X 100

= (0.887 - 0.857) / 0.887 X 100 = 3.35 %