How is heat capacity a state function?

[Chem_Mod]

Could you explain how is heat capacity a state function? Aren't density and heat capacity intensive properties (not state/nonstate?)

[Chem_Mod]

Heat capacity is an intensive property whereas specific heat capacity and molar heat capacity are extensive properties. However, all heat capacities are state functions since it does not matter HOW the heat was added or HOW the temperature was changed. Rather, the net change in heat and temperature determine a substance's heat capacity.

[Leila_4G]

Is heat capacity a state function? I thought that if it relies on the change in heat/transfer of heat then it is not a state function?

[MinuChoi]

I thought that if it relies on the change in heat/transfer of heat then it is not a state function?

Heat capacity's reliance on heat transfer is consistent (how the heat is added does not change the temperature outcome), so it is a state function. Keep in mind that enthalpy is also a state function related to heat.