Chapter 5: Isothermal Reactor Design: Conversion
Deriving Variable Density:
From conservation of mass
\(\dot{m} = \dot{m}_0\)
\(\rho \nu = \rho_0 \nu_0\)
\(\rho = \frac{\rho_0 \nu_0}{\nu}\)
\(\nu = \nu_0 \frac{P_0}{P} \frac{T}{T_0} \frac{F_T}{F_{T0}}\)
\(\rho = \frac{\rho_0 \nu_0}{\nu} \frac{P}{P_0} \frac{T_0}{T} \frac{F_{T0}}{F_T}\)
\(\rho = \rho_0 \frac{P}{P_0} \frac{T_0}{T} \frac{F_{T0}}{F_T}\)