Chapter 6: Isothermal Reactor Design: Molar Flow Rates

Derivation for Constant Density:

\( \frac{dN_A}{dt} = r_A V \)

\( N_A = C_A V \)

\( \frac{dN_A}{dt} = V \frac{dC_A}{dt} = C_A \frac{dV}{dt} + V \frac{dC_A}{dt} \)

\( \frac{dV}{dt} = v_0 \)

\( \frac{dC_A}{dt} = r_A - \frac{C_A v_0}{V} \)

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