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Arrhenius Law and Unit Conversion for Diffusivity in Chemistry - Prof. Janet De Grazia, Study notes of Chemistry

University of Colorado Boulder (CU Boulder)Chemistry
Prof. Janet De Grazia

Problem solutions related to the arrhenius law and unit conversions for diffusivity in chemistry. It covers calculations for units of boltzmann constant (k), temperature (t), energy (e), and diffusivity (d) in various units such as ft, btu, lb-mole, and r.

Typology: Study notes

Pre 2010

Uploaded on 11/07/2010

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1
Class 2
Wednesday, August 26th
Consider . .k is in m/s, E in J/mol, T is in
K. What are the units of 8.314?
)
314.8
exp(10*4.5 3
T
E
k
โˆ’
=โˆ’
Consider . k is in m/s, E in J/mol, T is
in K. What are the units of 5.4 X 10-3?
a) Unitless b) m/s
c) J/mol
d) s/m
)
314.8
exp(10*4.5 3
T
E
kโˆ’
=โˆ’
c)
J/mol
d)
s/m
Consider k is in m/s, E in J/mol,
T is in K. We want the new expression in units of ft, Btu, lb-
mole and R.
Therefore, k =
)
314.8
exp(10*4.5 3
T
E
kโˆ’
=โˆ’
pf3
pf4

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Class 2

Wednesday, August 26

th

Consider. .k is in m/s, E in J/mol, T is in

K. What are the units of 8.314?

)

  1. 314

  2. 4 * 10 exp(

3

T

E k

โˆ’

โˆ’

Consider. k is in m/s, E in J/mol, T is

in K. What are the units of 5.4 X 10

  • ?

a) Unitless b) m/s

c) J/mol d) s/m

  1. 4 * 10 exp(

3

T

E

k

โˆ’

c) J/mol d) s/m

Consider k is in m/s, E in J/mol,

T is in K. We want the new expression in units of ft, Btu, lb-

mole and R.

Therefore, k =

  1. 4 * 10 exp(

3

T

E

k

โˆ’

Consider k = 5.4 X 10

exp (-E/8.314 T). k is in

m/s, E in J/mol, T is in K. We want the new

expression in units of ft, Btu, lb-mole and R.

Therefore, E =

a) 4.64 Eโ€™ b) 2.32 Eโ€™

c) 1.24 Eโ€™ d) 6.74 Eโ€™

Consider k is in m/s, E in

J/mol, T is in K. We want the expression in

units of ft, Btu, lb-mole and R. Our new

equation is: kโ€™(ft/s) =

  1. 4 * 10 exp(

3

T

E

k

โˆ’

' 0. 18 exp T

E

k โŽŸ โŽ 

โŽž โŽœ โŽ

โŽ›

  1. 97 '

' ' 55 exp T

E k

(A) (B)

(C) (D)

where Eโ€™ is in Btu/lb-mol and Tโ€™ is in R.

' 0. 18 exp T

E

k โŽŸ โŽ 

โŽž โŽœ โŽ

โŽ›

  1. 51 '

' ' 55 exp T

E k

The rate at which a substance passes through a

semipermeable membrane is determined by the diffusivity

D(cm^2 /s) of the gas. D varies with the membrane temperature

T(K) according to the Arrhenius Law: D = D (^) o exp(-E/RT)

What is the intercept?

a) 0

b) โ€“E/R (1/T)b) E/R (1/T)

c) D o

d) ln D o