The rate constant, the activation energy and Arrhenius parameter of a chemical reaction at 25°C are $3 .0 \times 10^{- 4} s^{- 1}, 1044 kJ {mol}^{- 1}$ and $6 .0 \times 10^{14} s^{- 1}$ respectively. The value of the rate constant as $T \to \infty$ is

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$2.0 \times 10^{18} s^{- 1}$

$6.0 \times 10^{14} s^{- 1}$

$3.6 \times 10^{30} s^{- 1}$

Infinity

answer is B.

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Detailed Solution

The Arrhenius equation is

$K = {Ae}^{- E_{a} / RT}$

As $T \to \infty$ the value $\frac{Ea}{RT} \to 0$

$& e^{- E_{a} / RT} \to e^{0} \Rightarrow 1$

Hence $k \to A$

Hence $k = 6 .0 \times 10^{14} s^{- 1}$

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