Name : Dai D.V - K4 HUMG
Subject : ADECH02
EXAMPLE CHAPTER 3
Example E3.1
API method (°R) :
T°R =
9
5
𝑇°𝐶+491.67 (3.1)
𝑇𝐵𝑃=𝑎
𝐴𝑆𝑇𝑀 𝐷86
𝑏
(3.2)
Daubert’s method (°𝐹):

𝑇
50
𝐴
4
𝑇
50
𝐵4, 𝑇
30
𝑇
50−Δ
T
3, 𝑇
10
𝑇
30−Δ
T
2 𝑇
0
𝑇
10−Δ
T
1 𝑇
70
𝑇
50+Δ
T
5 𝑇
90
𝑇
70+Δ
T
6 𝑇
90
𝑇
95+Δ
T
7(3.3)
Where 𝛥
𝑇
𝑖
𝐴
𝑖(𝛥
𝑇
𝑖
𝐵
𝑖 , 𝛥
𝑇
1
𝑇
10
𝑇
1 , 𝛥
𝑇
2
𝑇
30
𝑇
10,𝛥
𝑇
3
𝑇
50
𝑇
30,𝛥
𝑇
5
𝑇
70
𝑇
50,𝛥
𝑇
6
𝑇
90
𝑇
70,𝑎𝑛𝑑 𝛥
𝑇
7
𝑇
𝑓
𝑇
90.
Table 3.1.Constants for equation (3.2)
Vol %
a
b

0
0.9167
1.0019

10
0.5277
1.0900

30
0.7429
1.0425

50
0.8920
1.0176

70
0.8705
1.0226

90
0.9490
1.0110

95
0.8008
1.0355


Table 3.2. Constants for Daubert’s distillation curves interconversion method

Index number i

𝑨
𝒊


𝑩
𝒊


1
7.4012
0.6024

2
4.9004
0.7164

3
3.0305
0.8008

4
0.8718
1.0258

5
2.5282
0.8200

6
3.0419
0.7750

7
0.1180
1.6606


We have the petroleum cut with ASTM D86 Distillation data
Table E3.1.Convert temperature data in ASTM D86
Vol%
0
10
30
50
70
90
95

Temp (°C)
36.5
54
77
101.5
131
171
186.5

Temp (°F)
97.7
129.2
170.6
214.7
267.8
339.8
367.7

Temp (°R)
557.37
588.87
630.27
674.37
727.47
799.47
827.37


Convert these data to TBP data and plot the results and compare.
At vol%=0 in API method (°R) :
𝑇𝐵𝑃=0.9167
557.37
1.0019=517.11°𝑅=14.13°𝐶
In Daubert’s method (°𝐹):

𝑇
50
𝐴
4
𝑇
50
𝐵4=0.8718
214.7
1.0258=214.98, 𝑇
30
𝑇
50−Δ
T
3=214.98−62.86=152.12, 𝑇
10
𝑇
30−Δ
T
2=152.12−70.57=81.55 𝑇
0
𝑇
10−Δ
T
1=81.55−59.14=22.41 𝑇
70
𝑇
50+Δ
T
5=214.98+65.77=280.65 𝑇
90
𝑇
70+Δ
T
6=280.65+83.67=364.32 𝑇
95
𝑇
90+Δ
T
7=394
Where 𝛥
𝑇
3
𝐴
3(𝛥
𝑇
3
𝐵
3 =3.0305
44.1
0.8008=62.86, 𝛥
𝑇
2
𝐴
2(𝛥
𝑇
2
𝐵
2 =4.9004
41.4
0.7164=70.57, 𝛥
𝑇
1
𝐴
1(𝛥
𝑇
1
𝐵
1 =7.4012
31.5
0.6024=59.14,𝛥
𝑇
1
𝑇
10
𝑇
1=31.