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The following homogeneous, irreversible reaction involving ideal gases, $$A \longrightarrow B+C \quad\quad\quad(-r_A)=0.5C_A (\text{mol L}^{-1} s^{-1})$$ is carried out in a steady state ideal plug flow reactor ($\text{PFR}$) operating at isothermal and isobaric conditions. The feed stream consists of pure $A$, entering at $2 \: m \: s^{-1}$.

In order to achieve $50\%$ conversion of $A$, the required length of the $\text{PFR}$ is ___________ meter. (round off to $2$ decimal places).
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