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 ${{mol}^{-1}}$