106. Solving a chemistry problem

32. When studying the rate of the ligand exchange reaction in an aqueous solution of [Co(NH3)5Cl]2 H2O=[Co(NH3)5H2O]3 Cl-, the following data were obtained on the dependence of the initial rate v0 on the initial concentration of the Co complex ion:
C0*103 mol/l 1.0 1.3 1.5 1.7 2.0 2.5 3.0 4.0
v0* 107,mol/(l*min) 1.41 1.83 2.12 2.40 2.82 3.53 4.23 5.64

Prove that this reaction proceeds as a first order reaction. Calculate the rate constant and the half-life.