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An elementary irreversible liquid-phase reaction, $2A \rightarrow B$, is carried out under isothermal conditions in a $1\:m^{3}$ ideal plug flow reactor $\text{(PFR)}$ as shown in the figure. The volumetric flow rate of fresh $A, v_{1} = 10\:m^{3}\:h^{-1}$, and its concentration $C_{A1} = 2\text{ kmol m}^{-3}$. For a recycle ratio $R = 0$, the conversion of $A$ at location $2$ with respect to the fresh feed (location $1$) is $50\%$. For $R \rightarrow \infty$, the corresponding conversion of $A$ is _____________ $\%$ (rounded off to one decimal place).

 

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