Difficulty: Medium
Correct Answer: Feeding a supersaturated solution of concentration C to a crystalliser (solubility C1) yields an output solids rate of (C + C1)·V for volumetric feed rate V.
Explanation:
Introduction / Context:
This composite question checks your grasp across several core topics: blending calculations, limiting reactant and percent excess, vapor–liquid equilibrium saturation constraints for gas bubbles, and crystallisation mass balances. Spotting the incorrect statement requires quick, reliable reasoning across these areas.
Given Data / Assumptions:
Concept / Approach:
For blending, apply a one-component mass balance on solute. For limiting reactant, compare stoichiometric requirements. For the bubble, saturation implies the solvent partial pressure equals Ps; thus the gas-phase mole fraction equals Ps/Pg. For crystallisation, solids formation equals the excess solute over solubility—specifically (C − C1) multiplied by the feed volumetric rate V (with consistent units).
Step-by-Step Checks:
Verification / Alternative check:
Material balance over the crystalliser: solute in = C·V; solute out in mother liquor = C1·V; solids out = (C − C1)·V.
Why Other Options Are Wrong (or Right):
Common Pitfalls:
Confusing gram-atoms with gram-moles; misapplying Raoult-type saturation to cases with soluble carrier gases; sign error in the crystallisation excess term.
Final Answer:
Option (d) is wrong; the correct solids rate is (C − C1)·V.
Discussion & Comments