Can I get explanation to the teacher solution as to how he got that long empirical equation for B the one that start with -1.6767…………., also how did he do dB/dT to get the value of 7.64*10^-7

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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Question
Can I get explanation to the teacher solution as to how he got that long empirical equation for B the one that start with -1.6767…………., also how did he do dB/dT to get the value of 7.64*10^-7
Solution
Since we cannot find B at 220 K in the table, we will
need to fit data to an empirical equation with Tin
Kelvin.
X
#
3
B = -1.67676 x 10-5
F3
E
-
At T = 220 K, B = -8.75027 x 10-5 m³/mol
dB/dT=7.64079 x 10-7 m³/mol K
64079 x 107 m³/m
4
10
C
Q Search
$
dB
R
dT
*-
5
T
G
9.42467
T3
+
6
H
5.85799 x 10-³
5.85799 x 10-3
T2
N
4
J
M
(
9
K
O
)
4.71233
T2
O
W
P
;
[
JE
Transcribed Image Text:Solution Since we cannot find B at 220 K in the table, we will need to fit data to an empirical equation with Tin Kelvin. X # 3 B = -1.67676 x 10-5 F3 E - At T = 220 K, B = -8.75027 x 10-5 m³/mol dB/dT=7.64079 x 10-7 m³/mol K 64079 x 107 m³/m 4 10 C Q Search $ dB R dT *- 5 T G 9.42467 T3 + 6 H 5.85799 x 10-³ 5.85799 x 10-3 T2 N 4 J M ( 9 K O ) 4.71233 T2 O W P ; [ JE
Question 7
Using the data shown below to calculate the
residual enthalpy and entropy at 220 K, 20 bar
assuming the validity of truncated virial
equation.
T (K) B (cm³/mol)
108.45
-364.99
125.2
-267.97
149.1
-188.04
186.4
-126.21
223.6
-82.62
249.3
-68.53
Transcribed Image Text:Question 7 Using the data shown below to calculate the residual enthalpy and entropy at 220 K, 20 bar assuming the validity of truncated virial equation. T (K) B (cm³/mol) 108.45 -364.99 125.2 -267.97 149.1 -188.04 186.4 -126.21 223.6 -82.62 249.3 -68.53
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