how do you know that e(31.727)=6.0098 x 10^13??why my calculator give me 86.24?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 78E
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how do you know that e(31.727)=6.0098 x 10^13??why my calculator give me 86.24?
faculty.sdmiramar.edu
lonic and Covale..
Course Docume..
(696) Calculatin..
calculating Activ...
X Using ExceNor L..
Ink temp graph -..
e(3
20
-4.5
Linear (InK)
21
22
23
y -11008x + 31.727
R = 0.9997
-5
24
25
26
-5.5
27
28
29
KIKIND Sheet1
Sheet2
Sheet3
From the equation of the line: y = -11008 x + 31.727
e following information is determined.
The y-intercept : InA = 31.727 This gives the pre-exponential factor A = e(31.727) = 6.0098•1013
The slope: m = -11008 which is equals -Ea/R.
Multiplying -11008 by -R (-8.314J/mol*K) yields Ea = 91520.5 J or 91.5 kJ.
%3D
The Activation energy (Ea = 91520.5 J) together with the natural log of the pre-exponential value (A = 6.0098•1
=A exp
(Ea/RT)
where T = 310K
k
6.0098 1013 exp {91520.5/(8.314 310)} = 1.5868-1029
%D
Top
Transcribed Image Text:faculty.sdmiramar.edu lonic and Covale.. Course Docume.. (696) Calculatin.. calculating Activ... X Using ExceNor L.. Ink temp graph -.. e(3 20 -4.5 Linear (InK) 21 22 23 y -11008x + 31.727 R = 0.9997 -5 24 25 26 -5.5 27 28 29 KIKIND Sheet1 Sheet2 Sheet3 From the equation of the line: y = -11008 x + 31.727 e following information is determined. The y-intercept : InA = 31.727 This gives the pre-exponential factor A = e(31.727) = 6.0098•1013 The slope: m = -11008 which is equals -Ea/R. Multiplying -11008 by -R (-8.314J/mol*K) yields Ea = 91520.5 J or 91.5 kJ. %3D The Activation energy (Ea = 91520.5 J) together with the natural log of the pre-exponential value (A = 6.0098•1 =A exp (Ea/RT) where T = 310K k 6.0098 1013 exp {91520.5/(8.314 310)} = 1.5868-1029 %D Top
return
TI-84 Plus
TEXAS INSTRUMENTS
e31.727
86.24292757
STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4
TABLE
Y=
GRAPE
WINDOW
ZOOM
TRACE
Transcribed Image Text:return TI-84 Plus TEXAS INSTRUMENTS e31.727 86.24292757 STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4 TABLE Y= GRAPE WINDOW ZOOM TRACE
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