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UAT-UK SPEC: P4MODULE: PHYSICSTOPIC ID: ARCH-P-10

Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT)

Master Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT) on the ESAT Physics paper. Traditional classroom derivations waste valuable seconds. Using the 2-step Sub-90 invariant elimination method compresses solve time to 40s, saving +100s per question.

Standard Classroom Time
140s
Textbook multi-line derivations bleed exam clock
Sub-90 Target Pace
40s
Comfortably below the 88.8s per-question limit
Time Saved for Review
+100s
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 (Unit Guardrail g→kg\text{g} \to \text{kg}): Qtip=51000×400×200=400 JQ_{\text{tip}} = \frac{5}{1000} \times 400 \times 200 = 400\text{ J}.

Establish the structural invariant and eliminate impossible options immediately.

STEP 2 • FAST SOLVE (LINE 2)15–25s
Line 2 (Subtract from PtPt): Elost=(40×50)−400=2000−400=1600 JE_{\text{lost}} = (40\times 50) - 400 = 2000 - 400 = 1600\text{ J} (25s).

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 #1unit_or_prefix_mismatch

Leaving mass in grams (e.g. 2.0 g) when specific heat capacity c is in J kg⁻¹ °C⁻¹

Failing to divide mass in grams by 1000 to match kg.

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

Inverting the gradient k = ΔT / t of a temperature-time graph: writing c = P*k/M instead of c = P/(M*k)

From Pt = McΔT, gradient k = ΔT/t = P/(Mc), so c = P/(Mk).

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

Outputting energy absorbed by tip mcΔT (160 J) instead of energy lost to surroundings P*t - mcΔT (1500 - 160 = 1340 J)

Stopping after computing mcΔT without subtracting from total electrical heater input P*t.

Sub-90 Fix: Test invariants before expanding equations.

Try 1 Timed Question: Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT)

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Full Lesson All 15 Questions (ARCH-P-10)
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ARCH-P-10: Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT) (Sample)Physics
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SUB-90 ZONE (<40S)
0.0s40s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-P-10 (6-Card Lesson)Format: Standard 5-Option
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Question 1 of 1 • 90s Target

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