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UAT-UK SPEC: C15MODULE: CHEMISTRYTOPIC ID: ARCH-C-14

Kinetic Particle Theory, Heating/Cooling Phase Curves, Fractional Distillation & Gas Diffusion

Master Kinetic Particle Theory, Heating/Cooling Phase Curves, Fractional Distillation & Gas Diffusion on the ESAT Chemistry paper. Traditional classroom derivations waste valuable seconds. Using the 2-step Sub-90 invariant elimination method compresses solve time to 30s, saving +90s per question.

Standard Classroom Time
120s
Textbook multi-line derivations bleed exam clock
Sub-90 Target Pace
30s
Comfortably below the 88.8s per-question limit
Time Saved for Review
+90s
Banks clock buffer across 27 questions

2-Step Sub-90 Shortcut Formula

How to eliminate intermediate algebra and solve under 45 seconds.

Launch Interactive Lesson
STEP 1 • SETUP INVARIANT (LINE 1)10–15s
Line 1 (Number Line Check at +25 ∘C+25\,^\circ\text{C}): Between mp\text{mp} and bp  ⟹  \text{bp} \implies liquid (X\text{X}); above bp(−85 ∘C)  ⟹  \text{bp} (-85\,^\circ\text{C}) \implies gas (Y\text{Y}); below mp(+45 ∘C)  ⟹  \text{mp} (+45\,^\circ\text{C}) \implies solid (Z\text{Z}).

Establish the structural invariant and eliminate impossible options immediately.

STEP 2 • FAST SOLVE (LINE 2)15–25s
Line 2 (Match Row): Liquid, Gas, Solid (15s).

Evaluate the simplified expression using integer factoring or unit elimination.

Distractor Trap Forensics

The predictable cognitive traps engineered by examiners into the wrong options.

TRAP #1fence_post_or_domain_trap

Misidentifying the physical state at target temperature T on a negative Celsius scale (e.g. thinking -80 °C is hotter than -50 °C when comparing against MP = -95 °C, BP = -60 °C)

Reversing inequality ordering for negative Celsius temperatures on a number line.

Sub-90 Fix: Test invariants before expanding equations.
TRAP #2multi_statement_linchpin_foil

Claiming average kinetic energy of particles increases during the flat horizontal melting or boiling plateau on a heating curve

During a phase change plateau, temperature is constant so average kinetic energy is constant; heat energy increases potential energy by overcoming intermolecular forces.

Sub-90 Fix: Test invariants before expanding equations.
TRAP #3sign_or_direction_flip

Saying heavier gas molecules (larger Mᵣ) diffuse faster or form the white NH4Cl ring closer to the NH3 end than the HCl end of a diffusion tube

Lighter molecules (NH3, Mᵣ = 17) diffuse faster than heavier molecules (HCl, Mᵣ = 36.5), so the white NH4Cl ring forms closer to the HCl end.

Sub-90 Fix: Test invariants before expanding equations.

Try 1 Timed Question: Kinetic Particle Theory, Heating/Cooling Phase Curves, Fractional Distillation & Gas Diffusion

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Full Lesson All 15 Questions (ARCH-C-14)
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ARCH-C-14: Kinetic Particle Theory, Heating/Cooling Phase Curves, Fractional Distillation & Gas Diffusion (Sample)Chemistry
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SUB-90 ZONE (<50S)
0.0s50s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-C-14 (6-Card Lesson)Format: Table-Row Matching
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Question 1 of 1 • 90s Target

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