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Question

For a first order reaction, A P, the temperature (T) dependent rate constant (k) was found to follow the equation:
log k=2000T+6.0
the pre - exponential factor A and the activation energy Eα. respectively, are:

A
1.0×106 s1 and 9.2 kJ mol1
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B
6.0 s1 and 16.6 kJ mol1
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C
1.0×106 s1 and 16.6 kJ mol1
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D
1.0×106 s1 and 38.3 kJ mol1
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Solution

The correct option is D 1.0×106 s1 and 38.3 kJ mol1
The logarithmic form of Arrhenius equation is
log k=log AEα2.303 RT
Given: log k=62000T
Comparing the above two equations:
log A=6A=106
and Eα2.303 R=2000
Eα=2000×2.303×8.314 J
=38.3 kJ mol1

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