HW2_Solution_Key - PGE 312 SPRING 2007 Physical and...

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PGE 312 - SPRING 2007 Physical and Chemical Behavior of Petroleum Fluids I Solution to Homework 2 2.1 Using Cox chart in Figure 2.8 (Page 57 of McCain) For 2-methylpropane @ 150 o F P = 18 Psia 2.5 P-V for ethane 0 100 200 300 400 500 600 700 800 900 50 60 70 80 90 100 110 Temperature, F Pressure, Psia 1 2 3 4 Matching the plot above and Figure 2-10 in McCain Process Description 1.2 Phase change from gas to liquid as the vapor pressure curve is crossed 2.3 Smooth transition from liquid to gas as we move above the critical point 3.4 Gaseous phase 4.1 Gaseous phase
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2.6
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T (R) 1/T Vapor P (Psia) ln(P) ====== ======= ============ ========= 420.9 0.00238 147 4.990 458 0.00218 293.9 5.683 482.5 0.00207 440.9 6.089 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 0.002 0.0021 0.0022 0.0023 0.0024 1/T (R) ln(P) Psia The plot of ln(P) Vs 1/R is a straight line with slope m = -3619 Therefore to find the pressure at T = 40 o F i.e. 500 o R 1/T = 0.002 3619 00207 . 0 002 . 0 089 . 6 ) ln( - = - - P ln(P) = 6.349 P=572 Psia The pressure at 40 o F is 572 Psia 2.7 Density Temperature Liquid Gas Mean ========= ====== ====== ====== -253 26.17 0.144 13.157 -235 25.25 0.275 12.7625 -217 24.28 0.477 12.3785 -199 23.18 0.775 11.9775 -181 21.89 1.202 11.546 -163 20.48 1.81 11.145
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From b aT g l + = - 2 ρ ρ The average density will be a straight line whose slope can be computed as follows: 0224 . 0
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