What are the path function in thermodynamics ?

 Path function:

The thermodynamic Functions which depend on the path means how the process is carried out to reach a state from another  state depends on path e.g. work & heat.

State function: Pressure, volume, temperature, Gibbs's free energy, internal energy,     entropy

Path function: Work, Heat, Loss of energy due to friction

Note : S, U, H, V, T etc are state function but ∆S, ∆U, ∆H, ∆V, ∆T, etc.are not state function. Infact ∆ terms are not function itself and it is very misleading and frequently asked in the exams.

 

Related Questions:

What are the "State functions or State variables" ?

What are the Mathmatical conditions for state functions or state variables?

 

 

What are the Mathmatical conditions for state functions or state variables?

 Mathematical Condition for a function to be a state function:-

There are three conditions that must be satisfied simultaneously for a function to be state      function.

(i) If ∆φ is a state function

        

    It means change in ∮ depends only on end states and not on the path which it followed       during the process.

(ii) If ∆φ is a state function

       

     It implies, in cyclic integral as the end states are same, so ∆φ value will be zero.

 (iii) If ∆φ = f(x, y) is a state function, Euler's reciprocity theorem must be satisfied.

           

                     If ∮dz=0 then, are we sure that z = 0 state function ?

   "Change in state function (z) is fixed in between two states so ∆z is also

      a state function example ∆P,∆T,∆V,∆H= state function is a wrong statement"

 

 

Related Questions:

What are the "State functions or State variables" ?

 

What are the "State functions or State variables" ?

State Functions or State Variables are the physical quantity having a definite value at a particular (present state) state and value is independent from the fact how the system achieved that state.

Mathematical Condition for a function to be a state function:-

There are three conditions that must be satisfied simultaneously for a function to be state      function.

(i) If ∆φ is a state function

        

    It means change in ∮ depends only on end states and not on the path which it followed       during the process.

(ii) If ∆φ is a state function

       

  It implies, in cyclic integral as the end states are same, so ∆φ value will be zero.

  (iii) If ∆φ = f(x, y) is a state function, Euler's reciprocity theorem must be satisfied.

           

                     If ∮dz=0 then, are we sure that z = 0 state function ?

   "Change in state function (z) is fixed in between two states so ∆z is also

      a state function example ∆P,∆T,∆V,∆H= state function is a wrong statement"

The heats of solution of anhydrous CuSO4 and hydrated CuSO4.5H2O are 66.5 and 11.7 kJ mol1 respectively. Calculate the heat of hydration of CuSO4 to CuSO4.5H2O.

 

200 ml of KOH and 200 ml of HNO3 of same molarity are mixed together and liberated 3.426 kJ of heat. Determine the molarity of each solution.