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