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ENCH607-ENPE625 Assignment-01

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ENCH 607/ENPE 625/Assignment #01 Page 1 of 1 September 19, 2020

Due date: September 28, 2020

ENCH 607/ENPE 625


Assignment 01-Introduction and equations of state
1. A tank contains 2,3-dimethyl-butane gas (Mw = 86.18 Kg/Kmol) at 600 K and 5.65 MPa.
The gas has a critical temperature of 500 K, a critical pressure of 31 atm and an
acentricity () of 0.247. Determine the followings:
a. Calculate the molar volume that the gas would occupy by using:
i. The ideal gas law?
ii. The generalized compressibility chart?
iii. The Pitzer-Curl Tables?
iv. The Peng Robinson equation of state?
b. Using the van der Waals equation, estimate the pressure (kPa) that 40.6 kg of the
gas would exert in a volume of 6 m3 at 630 K?

2. N-octane (MW =114 kg/kmol) has a critical temperature of 568.8 K, a critical pressure of
24.5 atm, and an acentricity () of 0.394. N-butane (MW = 58.12 kg/kmol) has a critical
temperature of 425.2 K, a critical pressure of 37.5 atm, and an acentricity () of 0.1995.
Calculate the molar volume (m3/kmol) of a mixture of 30% n-octane and 70% n-butane
(molar) held at 370oC and 6.128 MPa by using the followings:
a. Ideal gas law?
b. Generalized compressibility chart?
c. Pitzer-Curl Tables?
d. van der Waals equation of state
e. Peng-Robinson equation of state

3. Calculate the volume of 100 kg CO2 (MW = 44 g/mol,  = 0.225) at 4 MPa and 50 oC
using the followings:
a. Ideal gas law?
b. Generalized compressibility chart?
c. Pitzer-Curl Tables?
d. van der Waals equation of state?
e. Peng-Robinson equation of state?

4. A storage tank contains a gas mixture with compositions listed in the table below. The
tank held at a pressure of 10.19 MPa and a temperature of 271 K. Calculate:
a. The molar volume (m3/kmol) and the density (kg/m3) of the mixture using the
Kay’s rule and the Katz correlation?
b. The molar volume (m3/kmol) and the density (kg/m3) of the mixture using the
approach of Wichert and Aziz to adjust for CO2 and H2S?
c. If the gas flows to a processing facility at a rate of 2800 x 103Sm3/d, what is the
mass flow of the gas in kg/s?
d. Using the result from part b, and the flow rate from part c, what is the actual
volumetric flow rate of the gas at the plant in m3/s?
e. Determine the standard gas flow rate in MMSCFD if the standard conditions are
60 oF and 14.69 psia?

Component Mole fraction


(y)
N2 0.0050
CO2 0.2250
H2S 0.1000
C1 0.6610
C2 0.0070
C3 0.0015
i-C4 0.0003
n-C4 0.0002
1.0000

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