Temperature describes thermal state; heat is energy transferred because temperatures differ. The isolated blocks approach a common temperature determined by their heat capacities. Equal masses do not guarantee a simple average unless their specific heats are also equal.
Heating expands most materials, but coefficients and constraints matter. A solid’s volume coefficient is roughly three times its linear coefficient; a liquid has its own volume coefficient. A constant-pressure ideal gas volume follows absolute temperature.
Water contracts when warmed from 0°C to about 4°C and expands when warmed further. Its density maximum explains why lakes can retain denser liquid below a colder surface.
A calorimeter balances heat lost against heat gained. A larger hot heat capacity pulls the final temperature toward the hot initial value. Specific heat has units J/(kg·K), while total heat capacity is mc.
During melting or boiling, heat changes the state while temperature stays constant. Between state changes, heat increases temperature according to the relevant specific heat. The horizontal plateaus represent energy, not a failed heater.
Thermal resistances in series add. The poorly conducting or thicker layer takes the larger temperature drop. In a steady state the same heat rate passes through both layers.
Heating from below makes lower fluid less dense, creating buoyancy. Viscosity and thermal diffusion oppose the instability. The circulation appears only when the Rayleigh number exceeds the ideal onset in this schematic.
Hotter bodies emit much more power and peak at shorter wavelengths. Stefan law controls total power through T⁴; Wien law locates the spectral peak through 1/T. The curve uses Planck spectral radiance.
Newton cooling makes the rate proportional to the current temperature difference. Cooling is fastest initially and slows as the body approaches ambient. If initially colder, the same law predicts warming.
A surface that absorbs strongly also emits strongly under matching conditions. In an enclosure of the same temperature, absorbed and emitted power balance for every absorptivity. Unequal temperatures produce a net exchange.