Question

What is the effect of temperature on the rate of reaction? Write a mathematical expression for the same.

Hint:

The rate of reaction increases with temperature as more molecules acquire the activation energy required to react.

Answer 1

According to the Arrhenius equation, the rate of reaction increases with an increase in temperature. The mathematical expression for the rate constant \(k\) with respect to temperature \(T\) is given by: \[ k = A e^{-E_a/RT} \] where \(A\) is the pre-exponential factor, \(E_a\) is the activation energy, \(R\) is the gas constant, and \(T\) is the temperature. The rate of reaction increases exponentially with temperature because the number of effective collisions between molecules increases.