Explain why two bodies at different temperatures T1 and T2 if brought in thermal contact do not necessarily settle to the mean temperature (T1 + T2)/2.
Law of conservation of Energy says that the energy is transferred from one body to another and from one format to another. If we consider ideal conditions for heat transfer, when two bodies of temperature T1 and T2 come in thermal contact, heat transfer takes place from body of higher temperature to body of lower temperature. The quantity thermal energy is the function of mass and temperature. Hence, the mean temperature of the bodies in contact will be given by the weighted average not normal average. ∴Tavg=m1+m2m1T1+m2T2 Hence only when m1=m2, then Tavg=2T1+T2
