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22-Agric-A7 Chemistry and Microbiology of Foods · May 2017

Question 5 of 12: Chocolate Tempering and Milk Fat Fractionation

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

Notes on this paper

Paper format. 04-Agric-A7 Chemistry and Microbiology of Foods, National Exams May 2017 — a three-hour closed-book exam (one aid sheet, both sides; approved calculator permitted). The paper is in two sections: Section I (Food Chemistry, Questions 1–6) and Section II (Food Microbiology, Questions 7–12); candidates answer any three questions from each section for a 100-mark paper (each question worth 16.7 marks). All twelve questions are worked here so the set is a complete study resource.

Reference texts. S. Damodaran, K.L. Parkin and O.R. Fennema (eds.), Fennema's Food Chemistry, 5th ed. (enzyme kinetics, water activity and sorption isotherms, lipid crystallization/polymorphism, protein gelation, popcorn starch/glass transition); R.P. Singh and D.R. Heldman, Introduction to Food Engineering, 5th ed. (reaction-order kinetics, quality-loss modelling); J.M. Steffe, Rheological Methods in Food Process Engineering, 2nd ed. (creep-recovery of viscoelastic doughs); J. Jay, M. Loessner and D. Golden, Modern Food Microbiology, 7th ed. (bacterial growth curve, intrinsic/ extrinsic factors, Salmonella, quorum sensing, viral/prion foodborne agents, rapid methods, sampling plans); C. Mortimore and C. Wallace, HACCP: A Practical Approach, 3rd ed. (the seven HACCP principles).

Section I — Food Chemistry

Question 5: Chocolate Tempering and Milk Fat Fractionation (16.7 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.

(a) Crystal amount and polymorph balance through the tempering cycle

Cocoa-butter crystal behaviour through tempering
StepChange in total solid fatChange in polymorph distribution
Heat to 50°CSolid fat falls to essentially zero — all six cocoa-butter polymorphs (Forms I–VI) melt, including the desirable Form V, wiping out any prior crystal history.Melt is a single homogeneous liquid; no polymorph memory remains.
Cool to 25°C and holdSolid fat content rises sharply as the melt undercools and nucleates.Nucleation favours the least stable, lowest-melting polymorphs (Forms I–IV) because they have the lowest nucleation energy barrier at this degree of undercooling; the crystal population is a disorganized mixture dominated by these unstable forms.
Reheat to 32°CTotal solid fat content drops again, but only partially — enough heat is supplied to melt out the unstable Forms I–IV (which have lower melting points) while leaving the more stable, higher-melting seed crystals intact. The polymorph balance shifts decisively toward Form V — this selective-melting step is exactly what "tempering" means: it removes the unstable seeds so only Form V nuclei survive to template the final crystallization.
Pour into a mold and cool to room temperature (10 marks)Solid fat content rises to its final, high plateau as the whole mass solidifies around the surviving seeds. Because only Form V seeds remain from the previous step, the bulk of the chocolate crystallizes directly into Form V — the glossy, snapping, stable polymorph — rather than reverting to the unstable forms, which is what gives properly tempered chocolate its gloss, snap and resistance to fat bloom.

(b) Fast cooling and large-crystal centrifugation in milk-fat fractionation

Milk fat is cooled quickly through its crystallization range specifically to control the number of nuclei formed, not to maximize crystal amount: crystallization kinetics are governed by a competition between nucleation rate and crystal growth rate as functions of undercooling. A rapid quench takes the melt quickly through the moderate-undercooling window where growth on a modest number of existing nuclei dominates, and out of the deep undercooling range where nucleation rate explodes and produces vast numbers of tiny crystals; a slow cool, by contrast, lingers in the high-nucleation-rate zone and produces a fine, numerous crystal population. Fewer nuclei, each fed by more of the available high-melting triglyceride mass, grow into fewer, larger individual crystals. Large crystals are then easier to separate by centrifugation for two physical reasons captured in Stokes' settling behaviour: the centrifugal separating force on a particle scales with its volume (radius cubed) while the opposing viscous drag scales only with radius, so a larger crystal experiences a much higher net separating force per unit drag and settles (or is thrown to the bowl wall) far faster than a small one; and large crystals are also mechanically easier to retain on a separator's crystal-collecting surfaces without being re-entrained into the liquid stream, whereas a fine crystal population behaves almost like a colloidal suspension and resists clean mechanical separation.