Using a) trapezoidal rule (n = 50) and b) Simpson's rule (n = 50), determine the change in Gibbs energy, Ag, of N2 at 310 K, 1.4×106 Pa and at 310 K, 1.4×107 Pa using the Van der Waals (VDW) equation of state (EOS). RT P v-b - For N2, a 1.370 L²-bar/mol², b = 0.0387 L/mol a v2

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
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Using a) trapezoidal rule (n = 50) and b) Simpson's rule (n = 50), determine the
change in Gibbs energy, Ag, of N₂ at 310 K, 1.4×106 Pa and at 310 K, 1.4×10² Pa
using the Van der Waals (VDW) equation of state (EOS).
RT
a
P =
v-b
v2
For N₂, a = 1.370 L²-bar/mol², b = 0.0387 L/mol
Ag = |vd
ZRT
V
P
ap
A =
(RT)²
bP
B
RT
Z is the "largest" root of the equation Z³ − (1 + B)Z² + AZ - AB = 0
Show your first three sets of sample calculations.
vdp
Transcribed Image Text:Using a) trapezoidal rule (n = 50) and b) Simpson's rule (n = 50), determine the change in Gibbs energy, Ag, of N₂ at 310 K, 1.4×106 Pa and at 310 K, 1.4×10² Pa using the Van der Waals (VDW) equation of state (EOS). RT a P = v-b v2 For N₂, a = 1.370 L²-bar/mol², b = 0.0387 L/mol Ag = |vd ZRT V P ap A = (RT)² bP B RT Z is the "largest" root of the equation Z³ − (1 + B)Z² + AZ - AB = 0 Show your first three sets of sample calculations. vdp
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