Temperature Dependence Of The Rate Of A Reaction

Effect of Increased Concentration on the Rate of Formation of Y

The reaction follows second-order kinetics. The rate law for a second-order reaction is given by: Where is the rate of the reaction, is the rate constant, and is the concentration of reactant X.

Step 1: Initial Rate

Let the initial concentration of X be . The initial rate of the reaction is:

Step 2: Increased Concentration

When the concentration of X is increased 3 times, the new concentration becomes . The new rate is:

Step 3: Comparing the Rates

The ratio of the new rate to the initial rate is:

Conclusion:

When the concentration of X is increased by a factor of 3, the rate of formation of Y will increase by a factor of 9.

The rate constant of a reaction generally increases with temperature. This is explained by the Arrhenius equation, which shows that the rate constant increases exponentially with an increase in temperature. As the temperature rises, the number of molecules having sufficient energy to overcome the activation energy barrier increases, leading to an increase in the rate constant. Where: - is the rate constant, - is the frequency factor, - is the activation energy, - is the gas constant, - is the temperature in Kelvin.