UAT-UK SPEC CODE: C9 (Acids, bases and salts / Quantitative titrations)ASSUMED MATHS 1 PREREQUISITE: M3.5FREQUENCY: VERY HIGH

Multi-Step Acid-Base Back-Titrations, Diprotic Ratios (H2SO4/Ca(OH)2), Thermometric Titration & Purity

Deconstructed from 23 past UAT-UK questions (10.22% of all historical Chemistry papers). Students using standard A-Level classroom methods spend an average of 160s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 45s (saving 115s per question).

Historical Frequency
23 Past Qs
10.22% of Chemistry
Classroom Trap Time
160s
+70s over 90s budget
Sub-90 Target Time
45s
Banks +115s on the clock
Dominant UI Format
5-Option A–E
Maths 1 Skill: M3.5

Card 1 & Card 2 Preview: The Classroom Time Trap vs. Sub-90 2-Line Rule

Excerpted from our interactive 6-Step Topic Lesson for ARCH-C-16.

Launch All 6 Active-Recall Cards
CARD 1 OF 6 • THE CLASSROOM TIME TRAP (160s)
Why Students Bleed Time:
First calculate the moles of NaOH\text{NaOH} in 25.0 cm325.0\text{ cm}^3: n(NaOH)=25.01000×0.16=0.0040 moln(\text{NaOH}) = \frac{25.0}{1000} \times 0.16 = 0.0040\text{ mol}. From the 1:21:2 stoichiometric ratio (H2SO4+2NaOH→Na2SO4+2H2O\text{H}_2\text{SO}_4 + 2\text{NaOH} \rightarrow \text{Na}_2\text{SO}_4 + 2\text{H}_2\text{O}), n(H2SO4)=0.00402=0.0020 moln(\text{H}_2\text{SO}_4) = \frac{0.0040}{2} = 0.0020\text{ mol}. Dividing by the acid volume V=20.0 cm3=0.020 dm3V = 20.0\text{ cm}^3 = 0.020\text{ dm}^3 gives c(H2SO4)=0.00200.020=0.10 mol dm−3c(\text{H}_2\text{SO}_4) = \frac{0.0020}{0.020} = 0.10\text{ mol dm}^{-3} (~95s).
In 23 past UAT-UK questions (10.22% of Chemistry), candidates lose 115s by failing to balance h+ vs oh- equivalents: 1 mole of h2so4 or ca(oh)2 provides 2 equivalents of h+ or oh-. Instead, apply C9 with Maths 1 skill M3.5.
CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<45s)
**Line 1 (Millimoles with 1:21:2 Ratio):** n(H2SO4)=12×25.0×0.16=2.0 mmoln(\text{H}_2\text{SO}_4) = \frac{1}{2} \times 25.0 \times 0.16 = 2.0\text{ mmol}.
**Line 2 (Divide by 20.0 cm320.0\text{ cm}^3):** c=2.0 mmol20.0 cm3=0.10 mol dm−3c = \frac{2.0\text{ mmol}}{20.0\text{ cm}^3} = 0.10\text{ mol dm}^{-3} (20s).
Sanity & Limit Check: Verify units/signs against factor_of_two_or_stoichiometry_trap (Using a 1:1 mole ratio instead of 1:2 for diprotic H2SO4 + 2NaOH, Na2CO3 + 2HCl, or Ca(OH)2 + 2HCl) and subsystem_isolation_trap (Forgetting the 10x volumetric flask dilution factor (e.g. 25.0 cm³ pipette aliquot drawn from a 250 cm³ volumetric flask)).

Examiner Distractor Blueprint for ARCH-C-16

FOIL #1factor_of_two_or_stoichiometry_trap
Using a 1:1 mole ratio instead of 1:2 for diprotic H2SO4 + 2NaOH, Na2CO3 + 2HCl, or Ca(OH)2 + 2HCl

Failing to balance H+ vs OH- equivalents: 1 mole of H2SO4 or Ca(OH)2 provides 2 equivalents of H+ or OH-.

Open Factor-of-2 / Stoichiometry Clinic
FOIL #2subsystem_isolation_trap
Forgetting the 10x volumetric flask dilution factor (e.g. 25.0 cm³ pipette aliquot drawn from a 250 cm³ volumetric flask)

Computing moles in the 25 cm³ titration aliquot and forgetting to multiply by (250 / 25) = 10 to find total moles in the original flask.

Open Subsystem Isolation Trap Clinic
FOIL #3intermediate_stop_trap
In a back-titration, using the residual excess acid moles (titrated with NaOH) directly as the moles that reacted with the solid carbonate/metal

Forgetting to subtract residual moles from initial total acid moles: n_reacted = n_initial_acid - n_excess_titrated.

Open Intermediate Stop Trap Clinic
FOIL #4unit_or_prefix_mismatch
Multiplying concentration in mol dm⁻³ by volume in cm³ without dividing by 1000 (or failing to convert g dm⁻³ to mol dm⁻³ by dividing by M_r)

Omitting the ÷1000 conversion between cm³ and dm³.

Open Unit / Prefix Mismatch Clinic

Try 1 Live Sample Question Under the 90-Second Stopwatch

Press W to open the 2-line dry-wipe scratchpad, select A–E, and lock in to reveal the Dual-View solution.

sub90 ESAT Stopwatch Emblemsub90 ESAT
ARCH-C-16: Multi-Step Acid-Base Back-Titrations, Diprotic Ratios (H2SO4/Ca(OH)2), Thermometric Titration & Purity (Sample)Chemistry
00:00.0
SUB-90 ZONE (<45S)
0.0s45s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-C-16 (6-Card Lesson)Format: Standard 5-Option
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Question 1 of 1 • 90s Target

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Chemistry•ARCH-C-16•Standard 5-Option
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