If heat is applied constantly to a system and the system does not rise to the level of the heat applied, what is the most probable explanation?

The heat capacity and thermal conductivity of the system

Explanation:

The heat capacity of the system can be defined as the amount of heat that is needed to raise the temperature of a defined amount of the system by 1 degree either Celsius or Kelvin. So if the heat capacity of the system is high i. e a large amount of heat is needed to raise it up by one degree. If the thermal conductivity is low more amount of heat will be needed