Conversion of ASTM to TBP and EFV

Volume Distilled (%)

F

ASTM oC TBP by API oC TBP by Daubert's oC 0 36.5 14.1240923602 -5.3279387608 10 54 33.3576257773 27.5278511349 30 77 68.9623034308 66.7361563686 50 101.5 101.6357041039 101.6588879292 70 131 135.1645344031 138.1440625513 90 171 180.5120296261 184.6282359444 95 186.5 194.0885107583 201.1166863444

R 97.7 129.2 170.6 214.7 267.8 339.8 367.7

a 557.7 589.2 630.6 674.7 727.8 799.8 827.7

b 0.9167 0.5277 0.7429 0.892 0.8705 0.949 0.8008

TBP by API oR oF 517.4233662483 57.42337 552.0437263991 92.04373 616.1321461754 156.1321 674.944267387 214.9443 735.2961619256 275.2962 816.9216533269 356.9217 841.3593193649 381.3593

index no. i 1.0019 1.09 1.0425 1.0176 1.0226 1.011 1.0355

1 2 3 4 5 6 7

del del del del del del

T1 T2 T3 T5 T6 T7

ASTM TBP by API Method TBP by Daubert's Method

Ai

Bi 7.4012 4.9004 3.0305 0.8718 2.5282 3.0419 0.118

∆Ti

0.6024 0.7164 0 10 20 30 40 50 60 70 80 90 100 0.8008 1.0258 0.82 0.775 1.6606

Daubert's Method ∆Ti' TPB Temp. oF oF 31.5 59.14042 T0' 22.40971 41.4 70.57495 T10' 81.55013 44.1 62.86092 T30' 152.1251 53.1 65.67331 T50' 214.986 72 83.67151 T70' 280.6593 27.9 29.67921 T90' 364.3308 T95' 394.01

Data from Sheet 1

Volume Distilled (%)

ASTM oC oF 0 36.5 10 54 30 77 50 101.5 70 131 90 171 95 186.5

VABP (oF)=

224.42

Slope

2.6325

ln ∆ ∆

2.905729 18.27856

MeABP (oF)=

206.1414

Kw =

11.91659

97.7 129.2 170.6 214.7 267.8 339.8 367.7

When Sp. Gr. is 0.7313 at 60 oF/60 oF

at 60 oF/60 oF

Vol %

TBP oC oF 0 -5.3 10 27.5 30 66.7 50 101.7 70 138.1 90 184.6 95 201.1 100

Slope 10%-70%

DRL oF DRL oF (from graph) (Calculated) 22.4 48.4 48.36526862 81.6 81.6 81.6 152.1 147 147.9198589 215.0 216 214.2895857 280.7 280.7 280.6593126 364.3 347 347 394.0 363 363.6214712 432 380 380.2139029

3.32 oF / percent

t50% point (DRL) oF 214.29 t0% oF 48.3653 t100% oF 380.214

Slope of EFV from Maxwell's graph ∆t50 =(DRL -FRL) from Maxwell's graph T50% FRL oF T0% FRL oF T100% FRL oF

1.4 oF / percent

14

200.29 130.29 270.29

Raito of ∆T'/∆t' from fig in ∆t' (TBP-DRL) Maxwell ∆T'(FLASH-FRL) FRL -26.0 0.22 -5.7102228452 0.0 -0 4.2 0.34 1.4297756741 0.7 0.34 0.2367802602 0.0 -0 17.3 0.33 5.719172151 30.4 0.33 10.0282262075 51.8 0.33 17.0894120539

oF T EFV oF 130.3 124.5898 144.3 144.3 172.3 173.7298 200.3 200.5368 228.3 228.3 256.3 262.0192 263.3 273.3282 270.3 287.3894

410.0 f(x) = 1.70169256875269E-007x^5 - 4.25888661158362E-005x^4 + 0.0041889618x^3 - 0.1970972111x^2 + 7.4858 400.0 R²390.0 = 0.9999963502 380.0 370.0 360.0 350.0 340.0 330.0 320.0 310.0 300.0 290.0 280.0 270.0 260.0 250.0 240.0 230.0 220.0 210.0 200.0 190.0 180.0 170.0 160.0 150.0 140.0 130.0 120.0 110.0 100.0 90.0 80.0 70.0 60.0 50.0 40.0 30.0 20.0 10.0

TB

Po

DR

FR

EF

90.0 80.0 70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.0 0

10

20

30

40

50

60

70

80

90

100

x^3 - 0.1970972111x^2 + 7.4858840358x + 22.4660266724

TBP Poly DRL FRL EFV Curve

80

90

100