Rates of reaction.

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RATES OF REACTION

BY FAHAD ASHRAF

Background Knowledge

The rate of a chemical reaction is a measure of how fast the reaction takes place.

In order for a chemical reaction to take place, the reactant particles must collide with each other, and a fixed amount of energy called the activation energy (Ea) must be reached. If a collision between particles can produce sufficient energy (i.e. if the particles collide fast enough and in the right direction) a reaction will take place. Not all collisions will result in a reaction. The rate of reaction increases if there is an increase in the total number of collisions. This is called collision theory (see diagram below).

. The following factors affect the rate of a reaction:

- Temperature

 The rate of a chemical reaction increases as the temperature increases. A rough rule of thumb, which applies to many reactions at around room temperature, is that a 10oC increase in temperature approximately doubles the rate of a reaction. Upon increasing the temperature, the particles move faster. This has two effects. As the particles are moving faster they will travel a greater distance in a given time and so will be involved in more collisions. Also, as the particles are moving faster a larger proportion of the collisions will be exceed the activation energy. This results in an increase in the rate of reaction. Molecules in a gas or in a liquid do not all have the same energy.  The number of molecules, η, which possess the activation Ea  required for the reaction is given by

η=ηo exp (-Ea/RT)

Where ηo is the total number of molecules, R is the gas constant and T is the temperature in Kelvin. From collision theory, the rate of reaction is proportional to the number of molecules possessing energy greater than or equal to Ea.

K= A exp (-Ea/RT)

Where K is the rate constant, which is proportional to the actual rate and A is the Arrhenius constant. The equation is called the Arrhenius equation. The Arrhenius equation is an exponential; a small rise in temperature results in large increase in the fraction of molecules with energy greater than or equal to the activation energy. Therefore the rate of reaction increases rapidly with temperature. According to the Arrhenius equation the reaction rate is the product of three factors: the number of collisions per unit volume per unit second, the fraction of molecules, which collide in the right direction and the fraction of collisions with sufficient energy to react (Ea or greater). The activation energy can be found by plotting a graph of ln K against 1/T. The activation energy can be found from the gradient of the straight line. The gradient is –Ea/R.      

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- Concentration

 Increasing the concentration of the reactants increases the rate of reaction in solution. This is because increasing the concentration increases the number of particles per cubic centimetre and hence the number of collisions between the particles. This results in an increase the rate of reaction. The greatest rate of reaction is usually as soon as the reactants are mixed, as they are both at their highest concentration. As the reaction precedes the concentration of the reacting substances decreases and the rate of reaction decreases (see diagram below).  

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