Specific Heat at Constant Pressure (C_ρ)

The rate of change of enthalpy with respect to absolute temperature when pressure is constant is known as specific heat at constant pressure (C_p).

Example 1.1: The property of a substance is given as

where u is the specific internal energy (kJ/kg), t is temperature in °C, p is pressure in kN/m², and v is specific volume (m³/k).

Find the C_v and C_p of the substance.

Solution: