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A liquid phase irreversible reaction$A{\rightarrow}B$ is carried out in an adiabatic $CSTR$ operating under steady state conditions. The reaction is elementary and follows the first order rate law. For this reaction, the figure below shows the conversion $(X_{A})$ of $A$ as a function of temperature $(T)$ for different values of the rate of reaction ($-r_{A}$ in mol $m^{-3}\:s^{-1}$) denoted by the numbers to the left of each curve. This figure can be used to determine the rate of the reaction at a particular temperature, for a given conversion $A$.

The inlet stream does not contain $B$ and the concentration of $A$ in the inlet stream is $5$ mol/$m^{3}$. The molar feed rate of $A$ is $100$ mol/$s$. A steady state energy balance for this $CSTR$ results in the following relation: $T=350+25X_{A}$ where $T$ is the temperature (in $K$) of the exit stream and $X_{A}$ is the conversion of $A$ in the $CSTR$. For an exit conversion $80\%$ of $A$, the volume (in $m^{3}$, rounded off to the first decimal place) of $CSTR$ required is _____________

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