HANOI UNIVERSITY OF MINING AND GEOLOGY ADVANCED PROGRAM IN CHEMICAL ENGINEERING ADECH02 - Petroleum Refinery SOLUTION PROB 3.1 D.V.Dai K4 – 5/2017 Theory API method  𝑇𝐵𝑃 = 𝑎(𝐴𝑆𝑇𝑀 𝐷86)𝑏 (3.1)  where a and b are constants varying with percent of liquid sample distilled.TBP is true boiling point temperatures at 0, 10, 30, 50, 70, 90, and 95 volume percent distilled, in degrees Rankin ASTM D86 is the observed ASTM D86 temperatures at corresponding volume percent distilled, in degrees Rankin Average error between the calculated and measured TBP is in the range of 5°C (41°F) Convert temperature °C to °R  T°R = 𝑇°𝐶 + 491.67 (3.2) Result Table 3.1 Converted ASTM temperatures Vol% D86(°C) 10 30 50 70 90 95 138.8 149.6 158.8 165.8 169.9 178.1 180.4 TBP (°R) API method 688.33 729.57 766.46 792.60 807.37 829.78 829.46 TBP (°C) 109.26 132.17 152.66 167.18 175.39 187.84 187.66 Figure 3.1 Conversion of ASTMD86 into TBP Temperature °C 200 150 100 ASTM D86 50 TBP 0 50 Volume% 100 Appendix Table 3.2.Constants for equation (3.1) Vol % a b 10 30 50 70 90 95 0.9167 0.5277 0.7429 0.8920 0.8705 0.9490 0.8008 1.0019 1.0900 1.0425 1.0176 1.0226 1.0110 1.0355 Table 3.3.Convert temperature data in ASTM D86 Vol% Temp (°C) Temp (°R) 0.0 138.8 741.51 10.0 149.6 760.95 30.0 158.8 777.51 50.0 165.8 790.11 70.0 169.9 797.49 Convert these data to TBP data At vol%=0.0 , 𝑇𝐵𝑃 = 0.9167(741.51)1.0019 = 688.33°𝑅 = 109.26°𝐶 90.0 178.1 812.25 95.0 180.4 816.39 ... 0.0 13 8.8 7 41. 51 10.0 14 9.6 760.95 30.0 15 8.8 777. 51 50.0 16 5.8 790 .11 70.0 16 9.9 797.49 Convert these data to TBP data At vol%=0.0 ,