Chapter12Solutions - PGE 312 - FALL 2003 Physical and...

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PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 9- Key 1/15 PROBLEM 12-6 Component Mass (lb) MW (lb/lb-mole) Moles Z Pv (psia) Xi Yi 2,2-dimethylbutene 3 86.177 0.0348 0.6654 9.2 0.4401 0.8097 2,2,4-trimethylpentane 2 114.231 0.0175 0.3346 1.7 0.5598 0.1903 Total 5 0.0523 1.0000 0.9999 1.0001 Press. 5 psia Gas Mass 3.0480lb T 100 F Liq. Mass 1.9520lb nl 0.3904 ng 0.6096 To solve this problem, proceed as follows: 1. Determine the amount of moles of both components by 2. Determine Zi using: 3. Determine the vapor pressure of both components by using the Cox plot (Chapter 2 McCain) 4. Use the trial and error procedure to determine either Xi or Yi by the following: It is highly recommended to write a program for the trial and error procedure. You can use, for instance, Visual Basic or C++ 5. If the first equation is used, then calcualte Yi using: 6. Calculate the mass the liquid and gas phases i Mass n MW = 1 i i N i i n z n = = _ 11 1 NN i i ii vi g z x p n p ==  +−   ∑∑ _ 1 i i l vi z y p n p vj p yx p = _ l liquid total mass n mass =∗ _ g gas total mass n mass
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PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 9- Key 2/15 PROBLEM 12-8 The bubble point pressure of the system is given, it is 5 psia; thus, we have to determine the temperature at which ng = 0. Therefore, assume several temperatures and use the following equation in order to calculate the bubble point pressure Assume temperature (F) 50 75 100 125 Component Z Pv (psia) Zi*Pvi Pv (psia) Zi*Pvi Pv (psia) Zi*Pvi Pv (psia) Zi*Pvi 2,2-dimethylbutene 3 1.9961 5.5 3.6595 9.2 6.1213 15 9.9804 0.42 0.1405 0.9 0.3012 1.7 0.5689 3 1.0039 Pb = 2.1366 Pb = 3.9607 Pb = 6.6902 Pb = 10.9844 Now, plot the calculated bubble point pressure versus the assume temperature. From the plot, the estimated bubble pointe temperature is 85 F The dew point pressure of the system is given, it is 5 psia; thus, we have to determine the temperature at which nl = 0. Therefore, assume several temperatures and use the following equation in order to calculate the dew point pressure. 11 1 1 NN n i ib j v j ii i gl vi zn yp z p p nn p == = = + ∑∑
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PGE 312 - FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 9- Key 3/15 Assume temperature (F) 50 100 125 150 Component Z Pv (psia) Zi/Pvi Pv (psia) Zi/Pvi Pv (psia) Zi/Pvi Pv (psia) Zi/Pvi 2,2-dimethylbutene 0.6654 3.000 0.222 9.000 0.074 15.000 0.044 24.000 0.028 2,2,4-trimethylpentane 0.3346 0.420 0.797 1.500 0.223 3.000 0.112 5.200 0.064 Pd = 0.9818 Pd = 3.3668 Pd = 6.4142 Pd = 10.8605 Now, plot the calculated bubble point pressure versus the assume temperature. From the plot, the estimated dew point temperature is 115 F 11 1 1 1 / NN i id n vi ii lg jv j i d zn xp p nn zp p == = = + ∑∑
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Chapter12Solutions - PGE 312 - FALL 2003 Physical and...

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