HW_4 - PGE 312 Physical and Chemical Behavior of Petroleum...

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PGE 312 – Physical and Chemical Behavior of Petroleum Fluids I Homework 4, Spring 2008 Problem 12-1 For the two component mixture 1 and 2 11 2 2 12 1 2 2 1 1 2 21 1 (1 ) vv v v Px P x P xx P xP PP x x =+ += = = From the relation 1 1 1 v P y x P = 1 2 P y PP P P y =⋅ Problem 12-6 Component Mass(lb) Pv(psia) MW (lb/ib-mole) 1 2,2-dimethylbutene 3 9.2 88.177 2 2,2,4-trimethylpentane 2 1.7 114.231 n=Mass/MW n 1 =3/88.177=0.034 n 2 =2/114.231=0.0175 = = N i i n n Z 1 1 Z 1 =0.034/0.0515=0.66 Z 2 =0.0175/0.0515=0.34 1 ) 1 ( 1 1 1 = + = = = N i vi g j N i i p p n Z x 1 ) 1 5 7 . 1 ( 1 34 . 0 ) 1 5 2 . 9 ( 1 66 . 0 = + + + g g n n
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Using the trial and error procedure g n =0.598, l n =1- g n =0.402 439 . 0 ) 1 5 2 . 9 ( 598 . 0 1 66 . 0 1 = × + = x , 561 . 0 1 1 2 = = x x p p x y vi i i = 81 . 0 5 2 . 9 439 . 0 1 1 = = = p p x y vi , 19 . 0 5 7 . 1 561 . 0 2 2 = = = p p x y vi lb lb lb n M lb lb lb n M n n n n n n n n l l g g g l l g g 05 . 1 5 021 . 0 5 55 . 1 5 031 . 0 5 021 . 0 0515 . 0 402 . 0 ) 1 ( 031 . 0 0515 . 0 598 . 0 = = = = = = = = = = = = =
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Problem 12-8 P (psia) = 5 At bubble point conditions, z i P vi = 5. Therefore, iterating for bubble pt. temperature (T B ) using the values of P vi from Fig 2-8 1st iteration 2nd iteration 3rd iteration Component Z T B 90 T B 85 T B
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HW_4 - PGE 312 Physical and Chemical Behavior of Petroleum...

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