Temperature is not heat

01
The tempting model
Treating a hotter object as necessarily containing more heat.
02
Why it feels right
'Hot' and 'lots of heat' feel like the same idea.
03
Where it breaks · how to catch it
You compared 'heat content' using temperature alone.
04
The correct model
Temperature (K) measures average molecular KE; heat (J) is energy in transit due to a temperature difference. A warm bath holds more thermal energy than a hotter spark.
05
Repair · see it, then test it
worked example A spark at 1000°C vs. a bathtub at 40°C — which holds more thermal energy?
Tempting move
The spark — it's hotter.
Correct move
The bathtub — vastly more mass, so more total energy.
Test the repair TH-01 · transfer

Two samples of the same liquid are at 50°C. Sample A has twice the mass of sample B. Which statement is supported?
They have the same total internal energy A generally has more total internal energy B has more because it heats faster Temperature is energy measured in joules

Make a fresh prediction before referring to the worked example.