Oil reservoirs below ground frequently are in contact with underground water and, in connection with an oil drilling operation, you are asked to compute the solubility of water in a heavy oil at the underground conditions. These conditions are estimated to be 140°C and 410 bar. Experiments at 140°C and 1 bar indicate that the solubility of steam in the oil is x = 35 x 10-4 (x, is the mole fraction of steam). Assume Henry's law in the form f = H(T)x, where H(T) is a constant, dependent only on the temperature, and f, is the fu- gacity of H,O. Also assume that the vapor pressure of the oil is negligible at 140°C. Data for H,0 are given in the steam tables. 6.

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6.
Oil reservoirs below ground frequently are in contact with underground water and, in
connection with an oil drilling operation, you are asked to compute the solubility of water
in a heavy oil at the underground conditions. These conditions are estimated to be 140°C
and 410 bar. Experiments at 140°C and 1 bar indicate that the solubility of steam in the
oil is x = 35 x 10-4 (x, is the mole fraction of steam). Assume Henry's law in the form
f = H(T)x1, where H(T) is a constant, dependent only on the temperature, and f is the fu-
gacity of H,O. Also assume that the vapor pressure of the oil is negligible at 140°C. Data
for H,0 are given in the steam tables.
Transcribed Image Text:6. Oil reservoirs below ground frequently are in contact with underground water and, in connection with an oil drilling operation, you are asked to compute the solubility of water in a heavy oil at the underground conditions. These conditions are estimated to be 140°C and 410 bar. Experiments at 140°C and 1 bar indicate that the solubility of steam in the oil is x = 35 x 10-4 (x, is the mole fraction of steam). Assume Henry's law in the form f = H(T)x1, where H(T) is a constant, dependent only on the temperature, and f is the fu- gacity of H,O. Also assume that the vapor pressure of the oil is negligible at 140°C. Data for H,0 are given in the steam tables.
Expert Solution
Step 1

Solution

The solubility of water in oil is described by

f1 = H(T)4

Henry's constant can be evaluated at 1 bar where,

* f1 = 1 bar then,

H(T) = f1 / x1 (x1=35×10-4)

= 1/35×10-4 (t=140° C)

= 286 bar

* To obtain f1 at 410 bar and 140° C use the steam table alternatively get f at saturation (3.6 th bar) and use the pointing factor to correct to 410 bar.

at 140° C

RT In f1 = Δg1 → 410 bar = Δh1 → 410 bar => TΔS1 → 410 bar 

From steam tables book

RT In f1 = 282 J/g

R=8.314 J/mole.k

=> 8.314 J/18 grams.k and 

T = 413k since 1 mole of steam = 18 grams

In f1 = 1.48

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