The rate constant for the decomposition of $N_{2}$$O_{5}$ at various temperatures is given below.

Draw a graph between In k and 1/T and calculate the values of A . Predict the rate constant at 30°C and 50°C.

The rate constant for the decomposition of $N_{2}$$O_{5}$ at various temperatures is given below.

Draw a graph between In k and 1/T and calculate the values of A . Predict the rate constant at 30°C and 50°C.

(i) To draw the graph between In k versus 1/T, we rewrite the data as follows:

(ii) From the graph, we find the slope

Slope = -2.4/0.00047 = -E_{ a }/2.303 R

Activation enery,

E_{ a } = 2.4 x 2.303 x 8.314 J {{mol}^{-1}} /0.00047

= 97772 J {{mol}^{-1}}

= 97.772 kJ {{mol}^{-1}}

===> E_{ a } = 97.772 kJ {{mol}^{-1}}