Question

The rate constant for the decomposition of N₂O₅ at various temperatures is given below:

T/°C	0	20	40	60	80
	0.0787	1.70	25.7	178	2140

Draw a graph between ln k and 1/T and calculate the values of A and E_a.

Predict the rate constant at 30º and 50ºC.

Answer 1

From the given data, we obtain

T/°C	0	20	40	60	80
T/K	273	293	313	333	353
	3.66×10−3	3.41×10−3	3.19×10−3	3.0×10−3	2.83 ×10−3
	0.0787	1.70	25.7	178	2140
ln k	−7.147	− 4.075	−1.359	−0.577	3.063

Slope of the line,

According to Arrhenius equation,

Again,

When ,

Then,

Again, when ,

Then, at ,