Temperature is not heat

The mistake

Treating a hotter object as necessarily containing more heat.

Why it feels right

'Hot' and 'lots of heat' feel like the same idea.

How to catch it

You compared 'heat content' using temperature alone.

The first principle

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.

worked mini-example

A spark at 1000°C vs. a bathtub at 40°C — which holds more thermal energy?

Common wrong move

The spark — it's hotter.

Correct

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.