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: Ea 1 k2 In k1 %3D where k2 and ki are the values of the rate constant at the Kelvin temperatures T 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? "(는)-꽃 (금 ) k1 Ea 1 R 1 Eo 1 k2 In T2 T In the first one, the k2 and ki terms are interchanged. To balance this, the 1 1 terms are as well. T2 and In the second one, a minus sign precedes E. . This is balanced by interchanging 1 and The activation energy for the gas phase decomposition of ethyl acetate is 200. kJ. CH,COOC,H, The rate constant at 649.0 K is 0.000254/s. The rate constant will be →CH;COOH + C,H4 /s at 686.0 K.
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: Ea 1 k2 In k1 %3D where k2 and ki are the values of the rate constant at the Kelvin temperatures T 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? "(는)-꽃 (금 ) k1 Ea 1 R 1 Eo 1 k2 In T2 T In the first one, the k2 and ki terms are interchanged. To balance this, the 1 1 terms are as well. T2 and In the second one, a minus sign precedes E. . This is balanced by interchanging 1 and The activation energy for the gas phase decomposition of ethyl acetate is 200. kJ. CH,COOC,H, The rate constant at 649.0 K is 0.000254/s. The rate constant will be →CH;COOH + C,H4 /s at 686.0 K.
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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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:
(
Ea
1
k2
In
k1
1
R
T T
where k2 and ki are the values of the rate constant at the Kelvin
temperatures T 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?
k1
In
Ea
T2
(는)-
Ea
1
In
R
T2
In the first one, the k and ki terms are interchanged. To balance this, the
1
and
T2
5)
terms are as well.
In the second one, a minus sign precedes
Ea
This is balanced by
1
1
interchanging
and
T1
The activation energy for the gas phase decomposition of ethyl acetate
is 200. kJ.
CH,COOC,H,-CH,COOH + C,H,
The rate constant at 649.0 K is 0.000254/s. The rate constant will be
/s at 686.0 K.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b2d8d84-896e-4f9e-963b-da7844b9b0f5%2F9069fad5-78ee-4299-b273-731a46190860%2F2fma855_processed.jpeg&w=3840&q=75)
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:
(
Ea
1
k2
In
k1
1
R
T T
where k2 and ki are the values of the rate constant at the Kelvin
temperatures T 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?
k1
In
Ea
T2
(는)-
Ea
1
In
R
T2
In the first one, the k and ki terms are interchanged. To balance this, the
1
and
T2
5)
terms are as well.
In the second one, a minus sign precedes
Ea
This is balanced by
1
1
interchanging
and
T1
The activation energy for the gas phase decomposition of ethyl acetate
is 200. kJ.
CH,COOC,H,-CH,COOH + C,H,
The rate constant at 649.0 K is 0.000254/s. The rate constant will be
/s at 686.0 K.
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