No, temperature cannot be simply added up in the way you described. Temperature is a measure of the average kinetic energy of particles in a substance, and it does not directly add up like quantities in a linear fashion.
In the scenario you mentioned, connecting two heat sources at 30 degrees each with a copper pipe, the temperature of the copper pipe will not be automatically 60 degrees. Instead, the resulting temperature will depend on several factors, including the thermal conductivity of the copper pipe, the rate of heat transfer from the heat sources to the pipe, and the overall heat transfer characteristics of the system.
When heat sources are connected, heat transfer occurs between them, and the temperatures tend to equilibrate. The resulting temperature will depend on factors such as the thermal properties of the materials involved, the heat transfer rates, and the specific geometry of the system.
It is important to consider that heat transfer is a complex process influenced by factors beyond simple temperature addition. Conduction, convection, and radiation are involved in heat transfer, and their combined effects need to be taken into account for an accurate analysis of temperature distribution in a system.
Therefore, the temperature of the copper pipe in your example will not be a simple sum of the individual heat source temperatures. The heat transfer mechanisms and overall system characteristics must be considered to determine the final temperature of the copper pipe.