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23-Chem-A5 Chemical Plant Design and Economics · May 2018

Question 1 of 6: Flowsheet Synthesis for the Solvay (Ammonia-Soda) Production of Na 2 CO 3

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

Closed-book exam, 3 hours; one aid sheet (both sides) permitted; approved calculator. Six questions of equal value (20 marks each); five constitute a complete paper — full solutions to all six are given here. Question 1 is process synthesis (draw a flowsheet), Question 2 is quantitative (separation-train economics), and Questions 3–6 are design-practice list/essay questions.

Reference texts: M.S. Peters, K.D. Timmerhaus & R.E. West, Plant Design and Economics for Chemical Engineers (5th ed., McGraw-Hill) — the exam's named primary text (process synthesis & flowsheet development Ch. 2–4, general design considerations incl. materials of construction Ch. 3–4, cost & depreciation Ch. 6–9); R. Turton et al., Analysis, Synthesis, and Design of Chemical Processes (4th ed., Prentice Hall) — separation sequencing heuristics and pollution-prevention hierarchy; R.K. Sinnott & G. Towler, Chemical Engineering Design (Coulson & Richardson Vol. 6) — distillation column design and column-internals selection; D.A. Crowl & J.F. Louvar, Chemical Process Safety (4th ed.) — batch-reactor procedures and inherently safer design. Canadian practice framed by CCOHS/WHMIS 2015 and provincial OH&S process-safety expectations.

Question 1: Flowsheet Synthesis for the Solvay (Ammonia-Soda) Production of Na2CO3 (20 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Note on nomenclature The exam calls the product “sodium bicarbonate” but its formula Na2CO3 and the stated uses (glass, paper) identify it as sodium carbonate (soda ash). NaHCO3 is the sodium bicarbonate that appears here only as the filtered intermediate. The solution uses the correct names throughout.

Given. Five stoichiometric reactions and a set of physical-property facts (solubilities and states) that must dictate where each separation goes. Raw materials are limestone (CaCO3) and salt (NaCl); the target is Na2CO3, and CaCl2 is the only unavoidable by-product of the overall reaction.

Find. A labelled process flowsheet with the components identified in every stream, arranged so that ammonia and CO2 are recovered and recycled (minimizing reactant purchase) and only the terminal by-product leaves as waste.

Approach

Let the properties place each unit: a solid/liquid property difference (slightly-soluble NaHCO3 vs. everything else dissolved) calls for a filter; a thermal-stability difference (ionic solids decompose on heating) calls for calciners; and every species that is neither raw material nor product (NH3, CO2) must be closed into a recycle loop so it is regenerated rather than repurchased.

Lime kiln(1000°C)SlakerAmmoniarecoveryCarbonationtowerFilterSoda calciner(300°C)LimestoneCaCO3CaOWaterCa(OH)2CO2NaCl brine + NH3NH4OH (recovered)CaCl2 (waste)NaHCO3 slurryNH4Cl (aq)NaHCO3 solidNa2CO3(soda ash)CO2 recycle
Figure 1.1 — Solvay (ammonia-soda) flowsheet. Two thermal decomposers (lime kiln at 1000 °C and soda calciner at 300 °C) bracket an aqueous carbonation/filtration section. The CO2 generated by both decomposers feeds carbonation; the ammonia (as NH4OH/NH4Cl) circulates in a closed loop regenerated by milk-of-lime; CaCl2 is the only stream that leaves as waste.

The synthesis logic, unit by unit:

  1. Lime kiln (decomposition, 1000 °C). Calcining limestone serves two purposes at once: it makes the CaO that will later regenerate ammonia, and it makes the CO2 that carbonation consumes. Because ionic solids decompose on heating (fact g), a high-temperature kiln is the natural unit. Output streams: CaO (solid, to the slaker) and CO2 (gas, to carbonation).
  2. Slaker. Quenching the hot lime with water, CaO + H2O → Ca(OH)2, produces milk-of-lime. This is the reagent that will strip ammonia back out of the spent NH4Cl solution. Stream: Ca(OH)2 slurry to ammonia recovery.
  3. Carbonation tower. Saturated NaCl brine is contacted with ammonia and the kiln CO2: NH4OH + CO2 + NaCl → NH4Cl + NaHCO3. Because NaHCO3 is only slightly soluble (fact d) it precipitates, while NH4Cl stays dissolved (fact c). The solubility gap is what makes the whole process work: it separates the sodium from the ammonia without any added reagent.
  4. Filter. A simple solid/liquid split isolates the precipitated NaHCO3 crystals from the NH4Cl mother liquor. Solid NaHCO3 goes forward to calcination; the NH4Cl(aq) is sent to ammonia recovery.
  5. Soda calciner (calcination, 300 °C). Heating the bicarbonate decomposes it: 2NaHCO3 → Na2CO3 + CO2 + H2O. Solid Na2CO3 is the product; the released CO2 is recycled to carbonation, cutting the CO2 the kiln must supply.
  6. Ammonia recovery. Milk-of-lime displaces ammonia from the spent liquor: Ca(OH)2 + 2NH4Cl → 2NH4OH + CaCl2. The regenerated NH4OH returns to carbonation (closing the ammonia loop), and CaCl2 — which cannot be recycled because it will not react with CO2 (fact h) — leaves as the terminal waste.

Collecting the components carried by each stream:

StreamPhaseComponentsDestination
Limestone feedsolidCaCO3Lime kiln
Kiln solids / gassolid / gasCaO / CO2Slaker / Carbonation
Milk-of-limeaqueous slurryCa(OH)2, H2OAmmonia recovery
Brine feedaqueousNaCl, H2O, NH3Carbonation
Carbonator effluentslurryNaHCO3(s), NH4Cl(aq), H2OFilter
Filter cake / filtratesolid / aqueousNaHCO3 / NH4Cl(aq)Calciner / Ammonia recovery
Calciner gas / solidgas / solidCO2+H2O / Na2CO3Carbonation (recycle) / Product
Ammonia recycleaqueousNH4OHCarbonation
WasteaqueousCaCl2Effluent

Summing the recycles collapses the plant to exactly the stated overall reaction, CaCO3 + 2NaCl → Na2CO3 + CaCl2: the ammonia is neither consumed nor purchased after start-up, and the CO2 balance closes because carbonation needs 2 mol CO2 per 2 NaHCO3 while the kiln (1 mol) plus the calciner (1 mol) together supply exactly 2. Only limestone and salt are bought, and only CaCl2 is discharged — the “minimum waste and reactants” the question demands.

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