Distillation Column Calculator

The McCabe-Thiele method is a graphical technique used to determine the number of theoretical stages required for binary distillation. It uses equilibrium and operating lines to step off stages between feed and product compositions.

Relative volatility (α) is the ratio of vapor pressures of the light component to the heavy component. Higher values indicate easier separation, while values closer to 1.0 make separation more difficult.

The minimum reflux ratio is the theoretical minimum amount of reflux needed for separation. Operating reflux ratios are typically 1.2-2.0 times the minimum for economic operation.

Feed quality indicates the thermal condition of the feed. q=1 for saturated liquid, q=0 for saturated vapor, q>1 for subcooled liquid, and 0<q<1 for partially vaporized feed.

The optimal feed stage is where the operating lines intersect with the feed line (q-line). This minimizes the total number of stages required for separation.

Key assumptions include constant molar overflow, negligible heat effects, binary mixture, theoretical stages, and constant relative volatility throughout the column.

Theoretical stages represent the ideal separation efficiency. Actual stages are calculated by dividing theoretical stages by stage efficiency (typically 60-80% for distillation).