Assertion (A): Rate constant increases with increase in temperature. Reason (R): Increasing the temperature of the substance increases the fraction of molecules which collide with energies greater than activation energy.
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Temperature increases kinetic energy, so more molecules exceed activation energy → faster reactions.
Both A and R are true and R is the correct explanation of A
Both A and R are true but R is not the correct explanation of A
A is true but R is false
A is false but R is true
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The Correct Option isA
Solution and Explanation
According to the Arrhenius equation:
\[
k = A e^{-E_a/RT}
\]
where:
- \( k \): rate constant
- \( E_a \): activation energy
- \( R \): gas constant
- \( T \): temperature in Kelvin
When temperature increases, \( e^{-E_a/RT} \) increases, hence \( k \) increases.
Also, more molecules have energy \(>E_a \), so the rate of reaction increases.
\[
\boxed{\text{Both A and R are true and R explains A.}}
\]