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(a) The reaction \( A+B \rightleftharpoons C \) is carried out adiabatically in a constant volume (batch reactor). The reactants \( \mathrm{A} \) and \( \mathrm{B} \) are introduced at a temperature of \( 100^{\circ} \mathrm{C} \) and initial concentrations of 0.1 and \( 0.125 \mathrm{~mol} / \mathrm{dm} 3 \), respectively. The rate equation is given by: \( r=k_{1} C_{A}^{0.5} C_{B}^{0.5}-k_{2} C_{C} \). Describe the mass balances for all compounds as well as the energy balance for the system in transient state. Determine the concentration and temperature at steady state. Plot the temperature and the concentrations of species as a function of time. Additional Data: \( \Delta H_{R}^{0}(298 \mathrm{~K})=-40 \mathrm{~kJ} / \mathrm{mol} ; k_{1}(373 \mathrm{~K})=2 \times 10^{-3} 1 / \mathrm{s} ; k_{2}(373 \mathrm{~K})=2 \times \) \( 10^{-5} 1 / \mathrm{s} ; C_{P A}=25 \mathrm{~J} / \mathrm{mol} . K ; C_{P B}=25 \mathrm{~J} / \mathrm{mol} . K ; C_{P C}=40 \mathrm{~J} / \mathrm{mol} . K ; E_{1}=100 \mathrm{~kJ} / \mathrm{mol} ; \) \( E_{2}=150 \mathrm{~kJ} / \mathrm{mol} \)

          (a) The reaction \( A+B \rightleftharpoons C \) is carried out adiabatically in a constant volume (batch reactor). The reactants \( \mathrm{A} \) and \( \mathrm{B} \) are introduced at a temperature of \( 100^{\circ} \mathrm{C} \) and initial concentrations of 0.1 and \( 0.125 \mathrm{~mol} / \mathrm{dm} 3 \), respectively. The rate equation is given by: \( r=k_{1} C_{A}^{0.5} C_{B}^{0.5}-k_{2} C_{C} \). Describe the mass balances for all compounds as well as the energy balance for the system in transient state. Determine the concentration and temperature at steady state. Plot the temperature and the concentrations of species as a function of time.
Additional Data: \( \Delta H_{R}^{0}(298 \mathrm{~K})=-40 \mathrm{~kJ} / \mathrm{mol} ; k_{1}(373 \mathrm{~K})=2 \times 10^{-3} 1 / \mathrm{s} ; k_{2}(373 \mathrm{~K})=2 \times \) \( 10^{-5} 1 / \mathrm{s} ; C_{P A}=25 \mathrm{~J} / \mathrm{mol} . K ; C_{P B}=25 \mathrm{~J} / \mathrm{mol} . K ; C_{P C}=40 \mathrm{~J} / \mathrm{mol} . K ; E_{1}=100 \mathrm{~kJ} / \mathrm{mol} ; \) \( E_{2}=150 \mathrm{~kJ} / \mathrm{mol} \)

(a) The reaction A+B ⇌ C is carried out adiabatically in a constant volume (batch reactor). The reactants A and B are introduced at a temperature of 100^∘C and initial concentrations of 0.1 and 0.125 mol / dm 3, respectively. The rate equation is given by: r=k1 CA^0.5 CB^0.5-k2 CC. Describe the mass balances for all compounds as well as the energy balance for the system in transient state. Determine the concentration and temperature at steady state. Plot the temperature and the concentrations of species as a function of time.
Additional Data: Δ HR^0(298 K)=-40 kJ / mol ; k1(373 K)=2 × 10^-3 1 / s ; k2(373 K)=2 × 10^-5 1 / s ; CP A=25 J / mol . K ; CP B=25 J / mol . K ; CP C=40 J / mol . K ; E1=100 kJ / mol ; E2=150 kJ / mol

Added by Kushal L.

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