167
specific AV, e.g. AV = 8 for coil coating application and AV = 1 for polyurethane
(PU) coatings.
At AV = 0, Y 0 is calculated by Eq. 8.2.
Y w w
i
H O
0
2
= −
(8.2)
For the data mentioned in Table 8.1, the value of Y 0 at AV = 0 was calculated
as 2208.
Y A is calculated by using Eq. 8.3.
Y
AV
Y
A =
−
×
(
)
×
56100
56100 18
0
(8.3)
where 56,100 is Mw of potassium hydroxide (KOH) mg/mol.
For AV = 1 and AV = 8, the theoretical yield can, for example, be calculated as
follows:
AV
Y
=
=
−
×
(
)
×
=
1
56100
56100 18 1
2208 2209
1
,
AV
Y
=
=
−
×
(
)
×
=
8
56100
56100 18 8
2208 2213
8
,
Theoretical HV in terms of mgKOH/g of polyester is calculated using Eq. 8.4.
HV
e
e
Y
OH
COOH
=
−
(
)×
{
}
56 100
0
,
/
(8.4)
Therefore, for the aforementioned formulation, HV is:
HV
76.05 mgKOH/g
= (
)×
{
}
=
21 18 56 100 2213
–
,
/
Theoretical Mw of the polyester at AV = A can be calculated using Eq. 8.5.
M
Y
m e
Y A
M
A
A
i
C OOH
A
w
=
−
(
)+
×






(8.5)
Based on the Eq. 8.5, theoretical Mw of polyester with AV = 1 and AV = 8 is
calculated as follows:
8 Reactive and Functional Polyesters and Polyurethanes