Question

molar heat capacity depends on nature and thermdynamic process

Answer 1

Since heat is not a state function, neither is molar heat capacity (because molar heat capacity depends on heat). It is, therefore necessary to specify the process by which temperature is raised by one degree. The two important types of molar heat capacities are:

(I).          Molar Heat Capacity at Constant Volume.

(II).         Molar Heat Capacity at Constant Pressure.

(I).          MOLAR HEAT CAPACITY AT CONSTANT VOLUME              

                               When heat is supplied to the system to raise its temperature by 1oC keeping volume constant is called Molar Heat Capacity at Constant Volume. It is denoted by (CV).

                               Since   C    =    dq/dT        

                                Molar heat capacity  =   dq/dT

                                           CV    =    dqV/dT    

                               According to First Law of Thermodynamics,

                                            dq    =    dE   +   PdV

                               At constant volume, dV = 0.

                                            dqV =   dE

                                      \   CV   =   dE/dT

(II).         MOLAR HEAT CAPACITY AT CONSTANT PRESSURE                                              

               When heat is supplied to the system to raise its temperature by 1oC keeping pressure constant is called Molar Heat Capacity at Constant Pressure. It is denoted by ‘CP’ and is equal to dqP/dT .