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Chapter13Solutions

# Chapter13Solutions - PGE 312 FALL 2003 Physical and...

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PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 10- Key 1/14 PROBLEM 13-8 1. Perform a phase calculation in the separator to determine the composition of the liquid and gas phases leaving the separator a. Determine the amount of moles of both components by using: b. Determine Zi (this is already given in the problem) using: c. Determine the vapor pressure of both components by using the Cox plot (Chapter 2 McCain) d. Use the trial and error procedure to determine either Xi or Yi by the following 1 . First, assume a value of either ng or nl (depending upon the equation being used), calculate either Xi or Yi. Repeat the calculation until a pre-fixed tolerance is reached e. If the first equation is used, then calculate Yi using: Component MW (lb/lb-mole) Z Ki Xi Yi Yi*Mi Methane 16.043 0.2648 27.000 0.0234 0.6321 10.1401 Ethane 30.070 0.0951 5.000 0.0368 0.1838 5.5283 Propane 44.097 0.0961 1.550 0.0789 0.1223 5.3923 I-Butane 58.123 0.0173 0.680 0.0198 0.0135 0.7832 n-Butane 58.123 0.0501 0.500 0.0625 0.0312 1.8161 I-Pentane 72.150 0.0188 0.200 0.0275 0.0055 0.3974 n-Pentane 72.150 0.0281 0.170 0.0419 0.0071 0.5138 Hexanes 86.177 0.0378 0.060 0.0603 0.0036 0.3116 Heptantes plus 208.000 0.3919 0.002 0.6488 0.0010 0.2024 Totall 1.000 0.9999 1.0001 25.0851 nl1 0.6033 ng1 0.3967 1 It is highly recommended to write a small routine to perform this procedure; you can use visual basic in excel or C++ _ 11 1 NN i i ii vi g z x p n p ==  +−   ∑∑ _ 1 i i l vi z y p n p i Mass n MW = 1 i i N i i n z n = = vj p yx p =

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PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 10- Key 2/14 Calculate gas gravity. Calculate density of the liquid in the separator Determine amount of corrections due to pressure and temperature Correct by pressure and temperature Type of correction Amount of correction Resulting density Correction for pressure +0.55 46.64 lb/cuft Correction for temperature -6.00 40.64 lb/cuft Component Xi MW (lb/lb-mole) XiMi Density Vol (ft^3) Methane 0.2648 16.043 4.248 Ethane 0.0951 30.070 2.860 Propane 0.0961 44.097 4.238 31.62 0.13 I-Butane 0.0173 58.123 1.006 35.12 0.03 n-Butane 0.0501 58.123 2.912 36.42 0.08 I-Pentane 0.0188 72.150 1.356 38.96 0.03 n-Pentane 0.0281 72.150 2.027 39.36 0.05 Hexanes 0.0378 86.177 3.257 41.40 0.08 Heptanes plus 0.3919 208.000 81.515 52.93 1.54 C7+ API 35.2000 Mor 103.420 Tot. Vol 1.95 4.108% 0.932 46.09 lb/ft^3 2.969% 11 0.8650 29 nn ii sep air yM M γ == === ∑∑ 3 2 3 49.45 n C n i i mass mass cuft Vol ρ + = 1 1 C mix W W W 22 2 12 CN mix C CO WW W W + −− 3 0 / p C ρρ + = 33 00 / pp CC ++ =⋅ =
PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 10- Key 3/14 f. Perform a flash calculation in the stock-tank (follow the same procedure as in step 1) Stock-tank density calculation Component Xi MW (lb/lb-mole) XiMi Density Vol (ft^3) Methane 0.0008 16.043 0.012 Ethane 0.0055 30.070 0.165 Propane 0.0331 44.097 1.459 31.6 0.05 I-Butane 0.0128 58.123 0.741 35.1 0.02 n-Butane 0.0467 58.123 2.714 36.4 0.07 I-Pentane 0.0263 72.150 1.899 39.0 0.05 n-Pentane 0.0416 72.150 2.999 39.4 0.08 Hexanes 0.0672 86.177 5.790 41.4 0.14 Heptantes plus 0.7660 208.000 159.333 52.9 3.01 Msto 175.114 Tot. Vol 3.42 0.007% 1 51.20 lb/ft^3 0.094% Correct by pressure and temperature: In the stock-stank there’s no need for corrections.

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Chapter13Solutions - PGE 312 FALL 2003 Physical and...

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