Chemistry
Chemistry
Problem
Calculate the factor by which the rate of I order reaction is increased for a temperature rise of from to . The energy of activation is .Intuitive explanation
The rate of any reaction depends exponentially on temperature through the Arrhenius equation—higher 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 , the temperature change, and the gas constant. This is a direct application of the temperature dependence of , independent of reaction order.
Intuitive explanation
The rate of any reaction depends exponentially on temperature through the Arrhenius equation—higher 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 , the temperature change, and the gas constant. This is a direct application of the temperature dependence of , independent of reaction order.