For an elementary rearrangement reaction A leftharpoons P , the...

For an elementary rearrangement reaction $\mathrm{A} \rightleftharpoons \mathrm{P}$, the following data were recorded at 303 K , when $[\mathrm{P}]_0=0$ :

Set No.	$[A]_0 / mol\mathrm{L}^{-1}$	Rate of conversion of $A/ mol\mathrm{L}^{-1}\min ^{-1}$
1	$0.340$	$0.100$
2	$0.170$	$0.050$
3	$0.085$	$0.025$

If the equilibrium constant of the reaction is 1.12 at 303 K , the rate constant for the reaction $\mathrm{P} \rightarrow \mathrm{A}$ is