Step-by-Step Lesson • Step 1 of 6

ARCH-C-14: Kinetic Particle Theory, Heating/Cooling Phase Curves, Fractional Distillation & Gas Diffusion

Full 15-Q Timed Drill
Step 1 of 6 • The Core Idea

ARCH-C-14: Why the 120s Classroom Method Fails Under the 90s Clock

Standard Classroom Method (Too Slow)~120s (Blows 90s Clock)
Compare room temperature (T=+25 ∘CT = +25\,^\circ\text{C}) against each substance's melting point (mp\text{mp}) and boiling point (bp\text{bp}): (1) **Substance X\text{X}:** −10 ∘C<25 ∘C<60 ∘C-10\,^\circ\text{C} < 25\,^\circ\text{C} < 60\,^\circ\text{C} (mp<T<bp\text{mp} < T < \text{bp}), so X\text{X} is a liquid. (2) **Substance Y\text{Y}:** 25 ∘C>−85 ∘C25\,^\circ\text{C} > -85\,^\circ\text{C} (T>bpT > \text{bp}), so Y\text{Y} is a gas. (3) **Substance Z\text{Z}:** 25 ∘C<+45 ∘C25\,^\circ\text{C} < +45\,^\circ\text{C} (T<mpT < \text{mp}), so Z\text{Z} is a solid (~85s).
The Fast ShortcutTarget: 30s (Saves 90s)
**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}).
Line 2 (Match Row): Liquid, Gas, Solid (15s).
Where Students Lose Time: In 5 past UAT-UK questions (2.22% of Chemistry), candidates lose 90s by reversing inequality ordering for negative celsius temperatures on a number line. Instead, apply C15 with Maths 1 skill M4.14.
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