61. Solving a chemistry problem

3. When studying the kinetics of the ethane decomposition reaction in accordance with the stoichiometric equation C2H6 → С2H4 H2 at T=856K, the following changes in the total pressure P over time were observed at a constant volume of the reaction mixture:
P, mmHg 384 390 394 396 400 405 408
τ, s 0 29 50 64 84 114 134

It is assumed that the reaction under the experimental conditions proceeds in the first order.
a) Integral and differential methods (analytically and graphically) check the reaction order.
b) Calculate the rate constant at the reaction temperature
c) According to the following data:
T,K 900 950 1000
k, s-1 0.00373 0.0606 0.3697
Calculate the activation energy for this reaction.