The rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at $25^{°} C$ $3.0 \times 10^{- 4} s^{- 4}, 104.4 {KJ mol}^{- 1}$ and $6.0 \times 10^{14} s^{- 1}$ respectively. The value of the rate constant as $T \to maximum \infty$ is

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

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

2.0 \times 10^{- 8} s^{- 1}

Infinity

answer is B.

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Detailed Solution

Arrhenius Equation ,

k = {Ae}^{- Ea / RT}

$If T \to \infty$ , then

$k = A {.e}^{- E_{a} / R \infty}$

$\Rightarrow k = A; since - \frac{E_{a}}{R \propto} = 0 \Rightarrow e^{0} = 1$

Therefore, the value rate constant is equal to Arrhenius factor.

Hence, the rate constant $k = 6.0 \times 10^{14} s^{- 1}$ .

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