UPSC Combined Geo-Scientist, Mains · 2024 · Mains Paper II
Q1(j). Alkaline (sodium) error of the glass electrode
Question
What is the source of alkaline error in pH measurements with the glass electrode?
Answer in brief
At high pH the glass membrane also responds to Na⁺ (and other alkali ions) in its hydrated gel layer, so it senses more H⁺ than is present: the measured pH is too low.
Key points
- Membrane: thin Na₂O–CaO–SiO₂ glass with hydrated gel layers; H⁺ exchanges with Na⁺ at the silicate sites.
- Normal response: E = const + 0.05916 log aH⁺ (59.16 mV per pH at 25 °C), H⁺ only.
- Above pH ≈ 9 to 10, aH⁺ is tiny while aNa⁺ is large; Na⁺ competes for the exchange sites: E = const + 0.05916 log(aH⁺ + kH,Na aNa⁺) (Nikolsky equation).
- Apparent H⁺ too high ⇒ measured pH lower than true (negative error).
- Remedy: lithium glass usable to pH ≈ 14; avoid Na⁺-rich media or apply a correction chart.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Coversglass electrodealkaline errorsodium errorNikolsky equationpH measurement
All parts of Question 1
- 1(a) Volume and critical temperature of two van der Waals gases5 marks
- 1(b) Second virial coefficient A₂ and the Boyle temperature5 marks
- 1(c) Conductors, semiconductors and insulators: band picture5 marks
- 1(d) Cubic and tetragonal Bravais lattices5 marks
- 1(e) Chemical potential and its change with temperature5 marks
- 1(f) Relation between Kp, Kc and Kx5 marks
- 1(g) Rate constant in dm³ mol⁻¹ s⁻¹5 marks
- 1(h) BET equation and its terms5 marks
- 1(i) Zinc–copper cell from two half-reactions5 marks
- 1(j) Alkaline (sodium) error of the glass electrode5 marks
- 1(k) Commutator of position and d/dx5 marks
- 1(l) Meaning and dimensions of |Ψ(x)|²5 marks
- 1(m) Raman effect against fluorescence and phosphorescence5 marks
- 1(n) H₂: no IR or microwave spectrum, but Raman active5 marks
- 1(o) Fluorescence rate constant of tryptophan5 marks
- 1(p) Why 511 nm light dissociates Br₂ but not H₂5 marks