Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Arrhenius Equation
The variation of the rate constant with temperature can be expressed by
the Arrhenius Equation. The two-point form of this equation can be written
as:
(수)- (뉴
Ea
k2
In
k1
T2
where k2 and ki are the values of the rate constant at the Kelvin
temperatures T2 and T, respectively, E, is the activation energy, and R is
the ideal gas constant.
You may see slightly different, but equivalent, forms of this equation. It's
easy to confuse the different forms. They will all give the same result, but
not if you mix parts of one form with parts of another!
Here are two more forms that you are likely to see. Can you spot the
differences between these and the form above?
Ea
k1
In
k2
1
R
T2
) --GA)
(
k2
E.
1
k1
T2
In the first one, the k and ki terms are interchanged. To balance this, the
1
1
and
T
terms are as well.
T2
Ea
This is balanced by
R
In the second one, a minus sign precedes
1
and
T2
interchanging
The activation energy for the gas phase decomposition of ethyl acetate
is 200. kJ.
¬CH¸COOH + C,H4
CH,COOC, H,
The rate constant at 675 K is 0.00105 /s. The rate constant will be 0.0109
/s at
K.
expand button
Transcribed Image Text:Arrhenius Equation The variation of the rate constant with temperature can be expressed by the Arrhenius Equation. The two-point form of this equation can be written as: (수)- (뉴 Ea k2 In k1 T2 where k2 and ki are the values of the rate constant at the Kelvin temperatures T2 and T, respectively, E, is the activation energy, and R is the ideal gas constant. You may see slightly different, but equivalent, forms of this equation. It's easy to confuse the different forms. They will all give the same result, but not if you mix parts of one form with parts of another! Here are two more forms that you are likely to see. Can you spot the differences between these and the form above? Ea k1 In k2 1 R T2 ) --GA) ( k2 E. 1 k1 T2 In the first one, the k and ki terms are interchanged. To balance this, the 1 1 and T terms are as well. T2 Ea This is balanced by R In the second one, a minus sign precedes 1 and T2 interchanging The activation energy for the gas phase decomposition of ethyl acetate is 200. kJ. ¬CH¸COOH + C,H4 CH,COOC, H, The rate constant at 675 K is 0.00105 /s. The rate constant will be 0.0109 /s at K.
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