Answer:
a) To calculate the minimum liquid flow rate, we can use the Murphree Efficiency equation:
\[L'_{\text{min}} = \frac{G}{K_{\text{ya}} \cdot (y_1 - y_2)}\]
Where:
- \(G\) = Total gas flow rate = 175 kg mol/h
- \(K_{\text{ya}}\) = Overall mass transfer coefficient for ammonia in the gas phase = \(1.2 \times 10^{-3}\) kmol/m²s
- \(y_1\) = Ammonia mole fraction in the inlet gas stream = 0.27
- \(y_2\) = Ammonia mole fraction in the outlet gas stream = 0.025
Plugging in the values:
\[L'_{\text{min}} = \frac{175}{1.2 \times 10^{-3} \cdot (0.27 - 0.025)}\]
\[L'_{\text{min}} \approx \frac{175}{1.2 \times 10^{-3} \cdot 0.245}\]
\[L'_{\text{min}} \approx \frac{175}{2.94 \times 10^{-4}}\]
\[L'_{\text{min}} \approx 595,238.1 \text{ kg mol/h}\]
b) To determine the number of theoretical trays required using graphical method, we need to plot the equilibrium curve and operating line on a diagram and find their intersection point.
c) To find the values of \(V_1\), \(L_1\), and \(L\), and calculate the theoretical trays using the Kremser equation, we need more information such as the reflux ratio, tray efficiency, and other design parameters.
