- The elementary liquid-phase reactions take place in a \( 10-\mathrm{dm}^{3} \) CSTR. What are the effluent concentrations for a volumetric feed rate of \( 1000 \mathrm{dm}^{3} / \mathrm{min} \) at a concentration of \( A \) of \( 0.3 \mathrm{~mol} / \mathrm{dm}^{3} \) ? The inlet temperature is \( 283 \mathrm{~K} \).
\[
\mathrm{A} \xrightarrow{k_{1}} \mathrm{~B} \xrightarrow{k_{2}} \mathrm{C}
\]
Additional information
\[
\begin{array}{l}
C_{\mathrm{P}_{\mathrm{A}}}=C_{\mathrm{P}_{\mathrm{B}}}=C_{\mathrm{P}_{\mathrm{C}}}=200 \mathrm{~J} / \mathrm{mol} \cdot \mathrm{K} \\
k_{1}=3.3 \mathrm{~min}^{-1} \text { at } 300 \mathrm{~K} \text {, with } E_{1}=9900 \mathrm{cal} / \mathrm{mol} \\
k_{2}=4.58 \mathrm{~min}^{-1} \text { at } 500 \mathrm{~K} \text {, with } E_{2}=27,000 \mathrm{cal} / \mathrm{mol} \\
\Delta H_{\mathrm{Rx} 1 \mathrm{~A}}=-55,000 \mathrm{~J} / \mathrm{mol} \mathrm{A} \quad U A=40,000 \mathrm{~J} / \mathrm{min} \cdot \mathrm{K} \text { with } T_{a}=57^{\circ} \mathrm{C} \\
\Delta H_{\mathrm{Rx} 2 \mathrm{~B}}=-71,500 \mathrm{~J} / \mathrm{mol} \mathrm{B}
\end{array}
\]
