Arrhenius equation, Chemical Kinetics Assignment Help

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Arrhenius equation

Arrhenius presented the quantitative relationship among rate constant and temperature as,

                                                                         371_arrhenius equation.png                         .....(i)

         The equation is termed as Arrhenius equation.

In which constant A is called as frequency factor. This specific factor is related to the number of binary molecular collision per second per litre.

Ea is activation energy.

 T is absolute temperature and

 R is gas constant

A and Ea   both are collectively known as Arrhenius parameters.

By taking the logarithm equation (i) can be stated as,

2428_arrhenius equation1.png                             .....(ii)

         The activation energy Ea increases, the value of k decreases and hence, the reaction rate decreases.

When log k is plotted against 1/T,  we obtain a straight line. The intercept of this specific line is equal to the log A and slope is equal to  6_arrhenius equation2.png     .

 Thus Ea=-2.303R*slope.

 

2035_arrhenius equation3.png

The value of rate constants for the reaction at two different temperatures T1 and T2,

                223_arrhenius equation4.png              .....(iii)

         Where k1 and k2 are rate constant at temperatures T1 and T2 respectively (T2>T1).

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