Use the Peng-Robinson equation of state to determine the volume of 3 moles of ethane gas at 298 K and 5 atm. For ethane, Tc = 305.32 K, Pc = 4.872 MPa, and = 0.0995. RT a(T) V-b V== ·+b- P P (V+ b)(V+ ob) Eq. of state Y 0.42748 RK (1949) SRK (1972) 0.42748 PR (1976) 0.45724 a(T) = µ °(T,)R²T² Pe RTC b=2₁ Pc O € 1 0 1 0 1+√2 1-√2 a(T₁) T₁-1/2 OSRK(Tr; (0)¹ OPR(Tr; (0)¹ Ω 0.08664 0.08664 0.07780
Use the Peng-Robinson equation of state to determine the volume of 3 moles of ethane gas at 298 K and 5 atm. For ethane, Tc = 305.32 K, Pc = 4.872 MPa, and = 0.0995. RT a(T) V-b V== ·+b- P P (V+ b)(V+ ob) Eq. of state Y 0.42748 RK (1949) SRK (1972) 0.42748 PR (1976) 0.45724 a(T) = µ °(T,)R²T² Pe RTC b=2₁ Pc O € 1 0 1 0 1+√2 1-√2 a(T₁) T₁-1/2 OSRK(Tr; (0)¹ OPR(Tr; (0)¹ Ω 0.08664 0.08664 0.07780
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![Use the Peng-Robinson equation of state to determine the volume of 3 moles of ethane gas
at 298 K and 5 atm. For ethane, Tc = 305.32 K, Pc = 4.872 MPa, and = 0.0995.
ᎡᎢ
a(T)
V-b
V =
·+b-
P
P (V+eb) (V+ ob)
α(T₁)R²T²
Pe
ᎡᎢ .
b=2
P
Eq. of state
a(Tr.)
O
€
Ω
Y
RK (1949)
T-1/2
1
0
0.08664
0.42748
SRK (1972)
OSRK(Tr; 0)*
1
0
0.08664
0.42748
PR (1976)
OPR(Tr; 0)*
1+√₂ 1-√₂
0.07780
0.45724
*Smith, Van Ness, and Abbott, Introduction to Chemical Engineering Ther-
modynamics, 7th ed., p. 98, McGraw-Hill, New York (2005).
a SRK (Tr; @0) = [1 + (0.480 + 1.5740 - 0.176²) (1 - T,‚¹²)]²
OPR(Tr; 0) = [1 + (0.37464 + 1.54226w – 0.26992@²) (1 – T₂¹/²)]²
a(T) = y₁
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9419e7b-f138-4cd4-b1bd-117f5fcf703a%2F350b88d7-a185-423c-9363-dc5e93d5171a%2Fnycyr5i_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Peng-Robinson equation of state to determine the volume of 3 moles of ethane gas
at 298 K and 5 atm. For ethane, Tc = 305.32 K, Pc = 4.872 MPa, and = 0.0995.
ᎡᎢ
a(T)
V-b
V =
·+b-
P
P (V+eb) (V+ ob)
α(T₁)R²T²
Pe
ᎡᎢ .
b=2
P
Eq. of state
a(Tr.)
O
€
Ω
Y
RK (1949)
T-1/2
1
0
0.08664
0.42748
SRK (1972)
OSRK(Tr; 0)*
1
0
0.08664
0.42748
PR (1976)
OPR(Tr; 0)*
1+√₂ 1-√₂
0.07780
0.45724
*Smith, Van Ness, and Abbott, Introduction to Chemical Engineering Ther-
modynamics, 7th ed., p. 98, McGraw-Hill, New York (2005).
a SRK (Tr; @0) = [1 + (0.480 + 1.5740 - 0.176²) (1 - T,‚¹²)]²
OPR(Tr; 0) = [1 + (0.37464 + 1.54226w – 0.26992@²) (1 – T₂¹/²)]²
a(T) = y₁
C
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