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

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

A

$$0.263\ \mathrm{min^{-1}}$$

B

$$0.294\ \mathrm{min^{-1}}$$

C

$$0.526\ \mathrm{min^{-1}}$$

D

$$0.588\ \mathrm{min^{-1}}$$