UAT-UK SPEC CODE: C17 (Air and water / Instrumental analysis)ASSUMED MATHS 1 PREREQUISITE: M7.7FREQUENCY: MEDIUM

Diatomic Mass Spectrometry (m/z Peak Ratios 9:6:1 & 1:2:1) & Molecular Ion Combinations

Deconstructed from 5 past UAT-UK questions (2.22% of all historical Chemistry papers). Students using standard A-Level classroom methods spend an average of 140s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 35s (saving 105s per question).

Historical Frequency
5 Past Qs
2.22% of Chemistry
Classroom Trap Time
140s
+50s over 90s budget
Sub-90 Target Time
35s
Banks +105s on the clock
Dominant UI Format
5-Option A–E
Maths 1 Skill: M7.7

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-02.

Launch All 6 Active-Recall Cards
CARD 1 OF 6 • THE CLASSROOM TIME TRAP (140s)
Why Students Bleed Time:
Each bromine atom in Br2+\text{Br}_2^+ has probability 0.50.5 of being 79Br^{79}\text{Br} and 0.50.5 of being 81Br^{81}\text{Br}. A molecular mass of 160160 arises from either 79Br−81Br^{79}\text{Br}-^{81}\text{Br} (0.5×0.5=0.250.5 \times 0.5 = 0.25) or 81Br−79Br^{81}\text{Br}-^{79}\text{Br} (0.5×0.5=0.250.5 \times 0.5 = 0.25). Summing both arrangements gives 0.25+0.25=0.50=50%0.25 + 0.25 = 0.50 = 50\% (~110s).
In 5 past UAT-UK questions (2.22% of Chemistry), candidates lose 105s by forgetting that heteronuclear diatomic ions (⁷⁹br⁸¹br)+ and (⁸¹br⁷⁹br)+ can form in 2 ordered ways (2pq). Instead, apply C17 with Maths 1 skill M7.7.
CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<35s)
Line 1 (Binomial Ratio): (1:1)2  ⟹  1:2:1(1:1)^2 \implies 1 : 2 : 1 peak heights at m/z=158,160,162m/z = 158, 160, 162.
Line 2 (Middle Share): 21+2+1×100%=50%\frac{2}{1 + 2 + 1} \times 100\% = 50\% (25s).
Sanity & Limit Check: Verify units/signs against factor_of_two_or_stoichiometry_trap (Giving diatomic peak heights as p² : p*q : q² (1:1:1 for Br2 or 9:3:1 for Cl2) without the binomial factor of 2 on the middle peak 2pq) and fence_post_or_domain_trap (Counting m/z peak positions without checking overlapping mass sums across multi-isotope combinations).

Examiner Distractor Blueprint for ARCH-C-02

FOIL #1factor_of_two_or_stoichiometry_trap
Giving diatomic peak heights as p² : p*q : q² (1:1:1 for Br2 or 9:3:1 for Cl2) without the binomial factor of 2 on the middle peak 2pq

Forgetting that heteronuclear diatomic ions (⁷⁹Br⁸¹Br)+ and (⁸¹Br⁷⁹Br)+ can form in 2 ordered ways (2pq).

Open Factor-of-2 / Stoichiometry Clinic
FOIL #2fence_post_or_domain_trap
Counting m/z peak positions without checking overlapping mass sums across multi-isotope combinations

Treating distinct isotopic pairings with identical total mass as separate m/z peaks.

Open Fence-Post / Domain Trap Clinic
FOIL #3intermediate_stop_trap
Reporting atomic ion peaks (m/z = 35, 37) instead of molecular ion peaks (m/z = 70, 72, 74)

Confusing fragmentation monomer peaks with the parent diatomic molecular ion M+.

Open Intermediate Stop Trap Clinic
FOIL #4subsystem_isolation_trap
Dividing middle peak height by heaviest peak instead of total molecular ion intensity (p+q)²

Confusing relative peak ratio with fractional probability out of all molecular ions.

Open Subsystem Isolation Trap 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-02: Diatomic Mass Spectrometry (m/z Peak Ratios 9:6:1 & 1:2:1) & Molecular Ion Combinations (Sample)Chemistry
00:00.0
SUB-90 ZONE (<35S)
0.0s35s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-C-02 (6-Card Lesson)Format: Standard 5-Option
Right-click any option to cross out • Keys A–E + Enter
Question 1 of 1 • 90s Target

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The question stem, diagram, and answer options are hidden behind this pre-start gate. When you click below, the question will reveal and your 90-second split stopwatch will immediately begin ticking.

Chemistry•ARCH-C-02•Standard 5-Option
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