# They call it chemical kinetics?

Calculus Level pending

$\large k = A e^{-\frac{E_a}{RT}}$

The Arrhenius equation above tell us how the rate constant $$k$$ for a particular reaction depends on its activation energy $$E_a$$ and temperature $$T$$.

The figure above shows a typical plot of $$k$$ versus $$T$$. If the corresponding value of $$k$$ for the point of inflection for the curve above is given by $$k' = A e^X$$ for some constant $$X$$ then find $$|X|$$.

Assumptions and clarifications:

1. The pre-exponential factor or $$A$$ for the given reaction is essentially a constant.
2. $$R=8.314 \text{ J/(K mol)}$$ is the gas contant.
×