From the statements given, choose the correct option based on the Arrhenius equation

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

rate constant increases exponentially with decreasing activation energy and increasing temperature.

The correct answer is Option (4) → rate constant increases exponentially with decreasing activation energy and increasing temperature.

The Arrhenius equation is:

$k = A e^{-E_a / RT}$

• k = rate constant
• $E_a$​ = activation energy
• T = temperature

From the equation:

• Higher T → smaller $-E_a/RT$ → larger k
• Lower $E_a$​ → smaller $-E_a/RT$ → larger k

So, rate constant increases exponentially with decreasing activation energy and increasing temperature.