Starter track
Follow the authored sequence, or switch to recap mode for a faster review of the same path.
Start with temperature-versus-internal-energy bookkeeping, reuse that particle story for gas pressure, then follow energy transfer into heating curves and phase-change shelves.
Entry diagnostic
Reuse the temperature quick test and the existing gas-pressure compare challenge to see whether the particle-energy story is already stable enough to jump straight into boundary heat flow.
Check the thermal bookkeeping before you enter heat flow
No saved diagnostic checks are available yet, so the opening concept is still the best place to start.
Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.
Check whether average microscopic motion, amount, and whole-sample internal energy are already staying distinct.
No saved quick-test result yet.
Start from Hotter same box, switch to compare mode, and edit only Setup B until it reaches about the same pressure while staying cooler and using more particles instead of more temperature.
No saved checkpoint attempt yet.
About this track
Keep the first scan focused on the next lesson. Open the authored rationale and shared-framework notes only when you need them.
Why this order
Temperature and Internal Energy comes first because the later thermal branch is harder to trust if average microscopic motion and whole-sample energy are still being treated as the same thing. Ideal Gas Law and Kinetic Theory then keeps that same particle picture but turns it into pressure, volume, and collision reasoning. Heat Transfer follows the energy across a boundary without leaving the same causal story, and Specific Heat and Phase Change closes by keeping the energy bookkeeping honest on both sloped heating segments and the flat shelf.
Shared concept pages
Compare mode, prediction mode, quick test, worked examples, guided overlays, challenge mode, and read-next cues stay on the concept pages. The track only decides the guided order and the next recommended stop.
Guided path
Checkpoint cards reuse the authored challenge entries already living on the concept pages.
Compare average particle motion with whole-sample energy, vary amount and heating, and see why a phase-change shelf breaks naive temperature-only reasoning on one compact thermal bench.
Start here before moving into Ideal Gas Law and Kinetic Theory.
Connect pressure, volume, temperature, and particle number on one bounded particle box, then read the same pressure changes back as changes in particle speed and wall-collision rate.
Builds on Temperature and Internal Energy before setting up Heat Transfer.
Start from Hotter same box, switch to compare mode, and edit only Setup B until it reaches about the same pressure while staying cooler and using more particles instead of more temperature.
Finish Ideal Gas Law and Kinetic Theory first. This checkpoint ties together Temperature vs U and Ideal gas law through Match the pressure with a different cause.
Pause here after Ideal Gas Law and Kinetic Theory before moving into Heat Transfer.
See heat as energy transfer driven by temperature difference while conduction, convection, and radiation compete on one compact bench with honest pathway rates.
Builds on Ideal Gas Law and Kinetic Theory before setting up Specific Heat and Phase Change.
Start from Metal on cool bench, switch to compare mode, and edit only Setup B until it keeps nearly the same temperature contrast as Setup A but loses energy at less than half the rate.
Finish Heat Transfer first. This checkpoint ties together Temperature vs U and Heat transfer through Same gap, smaller total rate.
Pause here after Heat Transfer before moving into Specific Heat and Phase Change.
See why the same energy pulse changes different materials by different temperature amounts, and why a phase-change shelf can absorb or release energy without changing temperature on one compact thermal bench.
Capstone step after Heat Transfer.
Starting from Warming toward the shelf, pause at a real shelf moment where temperature is near 0 degC but the phase fraction is still between fully solid and fully liquid.
Finish Specific Heat and Phase Change first. This checkpoint ties together Temperature vs U, Heat transfer, and Specific heat and phase change through Find a genuine shelf state.
Final checkpoint that closes the authored track after Specific Heat and Phase Change.
