For a first order reaction \( A \rightarrow P \), the temperature \( (T) \) dependent rate const...

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For a first order reaction \( A \rightarrow P \), the temperature \( (T) \) dependent rate constant \( (k) \) was found to follow the equation \( \log k=-(2000) \frac{1}{\mathrm{~T}}+6.0 \). The pre-exponential factor A and the activation energy \( \mathrm{E}_{a} \), respectively, are
(a) \( 1.0 \times 10^{6} \mathrm{~s}^{-1} \) and \( 9.2 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
(b) \( 6.0 \mathrm{~s}^{-1} \) and \( 16.6 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
(c) \( 1.0 \times 10^{6} \mathrm{~s}^{-1} \) and \( 16.6 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
(d) \( 1.0 \times 10^{6} \mathrm{~s}^{-1} \) and \( 38.3 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
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