- 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 \[ \begin{array}{l} C_{\mathrm{P}_{\mathrm{A}}}=C_{\mathrm{P}_{\mathrm{B}}}=C_{\mathrm{P}_{\mathrm{C}}}=200 \mathrm{~J} / \mathrm{mol} \cdot \mathrm{K} \\ k_{1}=3.3 \mathrm{~min}^{-1} \text { at } 300 \mathrm{~K} \text {, with } E_{1}=9900 \mathrm{cal} / \mathrm{mol} \\ k_{2}=4.58 \mathrm{~min}^{-1} \text { at } 500 \mathrm{~K} \text {, with } E_{2}=27,000 \mathrm{cal} / \mathrm{mol} \\ \Delta H_{\mathrm{Rx} 1 \mathrm{~A}}=-55,000 \mathrm{~J} / \mathrm{mol} \mathrm{A} \quad U A=40,000 \mathrm{~J} / \mathrm{min} \cdot \mathrm{K} \text { with } T_{a}=57^{\circ} \mathrm{C} \\ \Delta H_{\mathrm{Rx} 2 \mathrm{~B}}=-71,500 \mathrm{~J} / \mathrm{mol} \mathrm{B} \end{array} \]
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The feed rate is 1000 dm³/min with a concentration of A of 0.3 mol/dm³. We need to find the effluent concentrations of A, B, and C. The temperature of the inlet is 283 K, and we are given the reaction rate constants at different temperatures along with their Show more…
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