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21-Mat-A7 Environmental Degradation of Materials · May 2018

Question 4 of 8: Active-Passive-Transpassive Polarization — Effect of Four Changes

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

Notes on this paper

Paper format. National Exams, May 2018 — 10-Met-A7, Corrosion and Oxidation. Three hours, open book, approved Casio/Sharp calculator only. Eight questions of 20 marks each; the rubric states that the first five questions as they appear in the answer book constitute a complete paper (100 marks). All eight are answered here, because this set is a study resource rather than an exam script. The rubric also flags that answers take one of three forms — essay, calculation, or a comparison table — and marks clarity and organisation accordingly.

Reference texts. The answers below are keyed to the works normally recommended for this syllabus code:


Question 4: Active-Passive-Transpassive Polarization — Effect of Four Changes (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.

Approach. All four parts share the same reference curve — a stainless steel's anodic branch rising from $E_{corr}$ (where it carries $i_{corr}$) through the active peak at ($i_{cc}$, $E_{pp}$), holding an approximately flat passive plateau at the low passive current density $i_p$, then rising again past the breakdown/transpassive potential $E_b$. The exam's own symbols are used throughout: $i_{cc}$ is the critical current density for passivation (elsewhere written $i_{crit}$) and $i_p$ the passive current density (elsewhere $i_{pass}$). Each sub-part shifts a different feature of that curve (solid, blue = reference; dashed, red = the changed system) and the physical reasoning behind each shift is what earns the marks, not the sketch itself.

4(a) — Decrease in Cl− concentration

10^-8 10^-6 10^-4 10^-2 log i (A/cm²) Potential, E — reference (solid) - - - modified (dashed) E_corr,ref E_pp E_b,ref E_corr E_b (higher) Changes, lower Cl⁻: E_b rises; i_p falls slightly; i_cc, E_pp, E_corr, i_corr: little change
Q4(a): lower Cl⁻ concentration — passive film stays intact to a higher breakdown potential $E_b$ and the passive current $i_p$ falls (dashed, red) relative to the reference curve (solid, blue).

Chloride ion is the specific species that locally breaks down the passive film (via adsorption and complexation with the film's own cations) to nucleate pits and drive transpassive/pitting breakdown. Lowering its concentration raises the potential $E_b$ at which the film fails and can also lower the steady passive current $i_p$ slightly (a marginally more stable film), while the active peak ($i_{cc}$, $E_{pp}$) and $E_{corr}$ shift only slightly, since chloride's main role here is on film stability, not on the active-region dissolution kinetics.

4(b) — Alloying elements that enhance passivity

10^-8 10^-6 10^-4 10^-2 log i (A/cm²) Potential, E — reference (solid) - - - modified (dashed) i_cc,ref i_p,ref i_cc (lower) i_p (lower) Changes, passivity-enhancing alloying: i_cc and i_p both fall, so i_corr falls and E_corr tends more noble; E_pp, E_b: little change
Q4(b): alloying additions that enhance passivity — both the critical current $i_{cc}$ and the passive current $i_p$ drop (dashed, red), so the film forms sooner and leaks less current than the reference (solid, blue).

Elements such as Cr, Mo, and N (the same PREN-raising elements from Question 2) make the passive film form more easily and leak less current once formed. This lowers both the critical current density $i_{cc}$ needed to reach passivity (an easier active-to-passive transition, so a system that might not spontaneously passivate now does) and the passive current density $i_p$ itself (a more protective film), which together also make $E_{corr}$ more noble (shift up along the now-lower passive branch) — the classic goal of alloy design for corrosion resistance.

4(c) — Increasing temperature

10^-8 10^-6 10^-4 10^-2 log i (A/cm²) Potential, E — reference (solid) - - - modified (dashed) ref, 25℃ higher T: all i up, E_b down Changes, higher temperature: i_corr, i_cc, i_p all rise; E_pp and E_b both fall; E_corr shifts little
Q4(c): increasing temperature — the whole curve shifts to higher current density (dashed, red): $i_{corr}$, $i_{cc}$ and $i_p$ all rise and the breakdown potential $E_b$ falls, since both activation and film-breakdown kinetics accelerate.

Higher temperature accelerates every rate process on the curve: the active-region exchange current and $i_{cc}$ both rise (faster active dissolution and a harder passivation transition), $i_p$ rises (the film itself becomes a poorer barrier, and any diffusion-limited cathodic partner reaction also speeds up), and the breakdown potential $E_b$ typically falls because pit nucleation and film breakdown are themselves thermally activated. The whole curve effectively shifts to higher current density at every potential.

4(d) — Increasing acidity (lower pH)

10^-8 10^-6 10^-4 10^-2 log i (A/cm²) Potential, E — reference (solid) - - - modified (dashed) ref, higher pH lower pH: active branch up, passive range narrows Changes, lower pH: i_corr, i_cc, i_p all rise; E_pp and E_b fall (passive range narrows); E_corr more noble
Q4(d): increasing acidity (lower pH) — the active-region dissolution current rises sharply and the passive plateau narrows and sits at a higher current density (dashed, red); at very low pH the film may not stabilise at all.

Lower pH accelerates the active-region dissolution reaction directly (many active-metal dissolution reactions are proton-assisted) and, by Nernst-shifting the hydrogen-evolution cathodic partner reaction to more noble potentials, raises both $E_{corr}$ and $i_{corr}$ — the corrosion potential now sits squarely in the active region rather than on the passive plateau. The passive current density rises and the passive range narrows because the oxide/hydroxide film is itself less thermodynamically stable at low pH (closer to its own dissolution boundary on a Pourbaix diagram) — at sufficiently low pH the passive plateau can disappear altogether and the metal corrodes actively across the whole potential range.