Concept:The Arrhenius equation relates the rate constant
k to activation energy
Ea​, and a higher
k means a faster reaction.
Explanation:The rate constant is given by
k=Ae−Ea​/RT.
A reaction proceeds more rapidly when the value of
k increases.
The value of
k increases when the term
e−Ea​/RT becomes larger.
This happens when the exponent
−RTEa​​ becomes less negative.
If
Ea​ decreases, the fraction
RTEa​​ becomes smaller.
Hence,
−RTEa​​ is less negative, so
e−Ea​/RT increases.
Consequently,
k increases, and the reaction becomes faster.
Decreasing
T makes the exponent more negative, which lowers
k.
Decreasing
A also lowers
k, and a decrease in
k itself slows the reaction.
Therefore, only a decrease in activation energy
Ea​ makes the reaction proceed more rapidly.
Answer:Decrease in
Ea​, i.e.
Option C.