Chemistry

Chemistry

Problem

Calculate the factor by which the rate of I order reaction is increased for a temperature rise of 10∘C10^\circ\text{C} from 25∘C25^\circ\text{C} to 35∘C35^\circ\text{C}. The energy of activation is 35 kcal mol−135 \text{ kcal mol}^{-1}.
Intuitive explanation

The rate of any reaction depends exponentially on temperature through the Arrhenius equation—higher TT means faster molecular collisions and more particles with sufficient activation energy. Rather than calculate the rate constants separately, you can use the ratio form of Arrhenius to find how many times faster the reaction becomes, which depends only on EaE_a, the temperature change, and the gas constant. This is a direct application of the temperature dependence of kk, independent of reaction order.

Intuitive explanation

The rate of any reaction depends exponentially on temperature through the Arrhenius equation—higher TT means faster molecular collisions and more particles with sufficient activation energy. Rather than calculate the rate constants separately, you can use the ratio form of Arrhenius to find how many times faster the reaction becomes, which depends only on EaE_a, the temperature change, and the gas constant. This is a direct application of the temperature dependence of kk, independent of reaction order.

Browse the problem library