Question

The rate constant, the activation energy and the frequency factor of a chemical reaction at ${25}^{\circ }C$ are $3.0\times {10}^{-4}{\text{s}}^{-1},104.4{\text{kJ mol}}^{-1}$ and $6.0\times {10}^{14}{\text{s}}^{-1}$ respectively. The value of the rate constant as $T\to \infty$ is:

• A. $2.0\times {10}^{18}{\text{s}}^{-1}$
• B. $6.0\times {10}^{14}{\text{s}}^{-1}$
• C. Infinite
• D. $3.6\times {10}^{30}{\text{s}}^{-1}$

Answer 1

The correct option is B $6.0\times {10}^{14}{\text{s}}^{-1}$

We know Arrhenius equation
$\Rightarrow K=A{e}^{\frac{-Ea}{RT}}\text{As}T\to \infty ,RT\to \infty ,\frac{-Ea}{RT}\to 0e^{\frac{-Ea}{RT}}\to 1$
Hence $K\to AasT\to \infty$
$\therefore$ Value of $K$ as $T\to \infty =6.0\times {10}^{14}{\text{s}}^{-1}$