Difficulty: Easy
Correct Answer: All (a), (b) and (c).
Explanation:
Introduction / Context:
Two classic graphical techniques for binary distillation are McCabe–Thiele (x–y diagram) and Ponchon–Savarit (enthalpy–composition diagram). Understanding their differences is essential for accurate stage and duty estimates, especially when heats of mixing and sensible-heat effects are significant.
Given Data / Assumptions:
Concept / Approach:
McCabe–Thiele uses an x–y equilibrium diagram and assumes constant molar overflow (CMO), which implies horizontal operating lines and often neglects enthalpy variations. Ponchon–Savarit uses an h–x (or H–x) chart with tie lines, capturing both composition and enthalpy simultaneously. This enables direct reading of stage-to-stage energy balances and utility duties.
Step-by-Step Solution:
Verification / Alternative check:
When heats of mixing are appreciable or when CMO fails, Ponchon–Savarit typically predicts a different number of stages and more accurate heat loads than McCabe–Thiele, consistent with rigorous simulations.
Why Other Options Are Wrong:
Common Pitfalls:
Applying McCabe–Thiele blindly under strong non-idealities or large heat effects; ignoring energy balances can lead to significant duty errors.
Final Answer:
All (a), (b) and (c).
Discussion & Comments