Mass and Temperature Contrast - Heat & Thermodynamics Step by Step

For a fixed material, heat is directly proportional to both mass and temperature change.

highlighted = computed this step

Start from the base case

The base case needs 30 joules of heat.

Q_{\text{base}} = 30\ \text{J}

Keeping the material and warming the same, doubling mass doubles the heat to 60 joules.

Q_{\text{more mass}} = 2\cdot 30\ \text{J} = 60\ \text{J}

Keeping the mass and material the same, doubling the temperature change also gives 60 joules.

Q_{\text{more warming}} = 2\cdot 30\ \text{J} = 60\ \text{J}