How long for heat to balance between 1 m³ water at 23°C and 1 m³ air at 20°C?

[Jesper]

If i have let's say have 1 cubic meter of water at a temperature of 23 degree, in a closest system connected to a 1 cubic meter of air of 20 degree, how long time does it take for the heat to balance out, the surface between the two a 1 square meter.

 

[klimatos]

If i have let's say have 1 cubic meter of water at a temperature of 23 degree, in a closest system connected to a 1 cubic meter of air of 20 degree, how long time does it take for the heat to balance out, the surface between the two a 1 square meter.

The "heat" will never balance. The temperatures will equalize in a few minutes, depending upon the surface tension of the water and the vapor pressure of the overlying humid air. This is essentially a problem in diffusion.