= Total Heat Capacity of some System (J/^oC)
C = Specific Heat Capacity (Heat Capacity / Unit Mass)
c = Molar Specific Heat Capacity (Heat Capacity / Mole)

When heat capacity is constant over some temperature range δT,

Process Dependent Heat Capacities

	Constant Volume Process Heat Capacity
	Constant Pressure Process Heat Capacity

• These two heat capacities are approximately the same for solids and liquids because of their low coefficient of volume expansion. Thus we usually do not make a distinction between the two for solids and liquids.
  
  
• In general the constant pressure heat capacity is larger that constant volume heat capacity for a gas because some of the heat that is added during a constant pressure process must go into work of expansion at a constant pressure rather than just all going into the internal thermal energy.
  
  
• The symbol δ is similar to a differential d except that Q is already change so that δQ is infinitesimal amount of heat flow. This is needed because in general the heat capacities are not constant but temperature dependent - meaning that it may take more energy to raisme one gram of a gas one degree C at a higher temperature be it a constant volume process or a constant pressure process.

• Since the volume can not expand (by definition) all the heat goes into the internal energy of the gas in a constant pressure process.
• This also means that the change in internal energy for any process can be calculated using the constant volume heat capacity regardless of the process.

It is always possible to find the change in internal energy using the constant volume heat capacity regardless of type of process, i.e even if the process was a constant pressure or adiabatic process.

• Chemist often use enthalpy because it lets them determine the heat flow in a constant pressure processes. Mixing and heating chemicals open to the air is a constant pressure process.
• The heat flow in or out during any process can be calculated using the constant pressure heat capacity regardless of the type of process process.

Like U the enthalpy H is also a state varaiable.