For a first-order reaction $A \rightarrow P$,the rate constant $k$ depends on temperature $(T)$ according to the equation $\log \, k = - \frac{2000}{T} + 0.6$. The pre-exponential factor $A$ and the activation energy $E_a$ are,respectively:

  • A
    $1.0 \times 10^6 \, s^{-1}$ and $9.2 \, kJ \, mol^{-1}$
  • B
    $6.0 \, s^{-1}$ and $16.6 \, kJ \, mol^{-1}$
  • C
    $1.0 \times 10^6 \, s^{-1}$ and $16.6 \, kJ \, mol^{-1}$
  • D
    $1.0 \times 10^6 \, s^{-1}$ and $38.3 \, kJ \, mol^{-1}$

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The velocity constant of a reaction at $290 \ K$ was found to be $3.2 \times 10^{-3}$. At $310 \ K$,it will be about:

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