The variation of rate constant with temperature follows the equation In $=30-\frac{40}{T}+20T^2-30 \ln T$

based on this mformation, identify the most appropriate option.

$E_A$ will remain constant at all temperatures.

There is some temperature greater than $50 K$ where $E_A$ will become negative.

$E_A$ at $300 K$ is approximately equal to $1.08\times {10}^{9}R.$

Rate constant will follows Arrhenius equation.