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Thursday, October 1, 2020

How to distinguise between " Extensive and Intensive" thermodynamic properties?

 Extensive and Intensive properties:

1: Extensive properties are additive but intensive properties are non additive.
2: Ratio of two extensive property gives an intensive property.

3: An extensive property can be converted into intensive property by defining it per mole/        per gram/ per liter

 

Related Questions:

What are the "State functions or State variables" ?

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

What are the path function in thermodynamics ?

What are the path function in thermodynamics ?

 

 

What are properties of "thermodynamic system"?

 

The state of a system is defined by a particular set of its measurable parameters called properties, by which a system can be described for example, Temperature (T), Pressure (P) and volume (V) defines the thermodynamics state of the system.

Intensive property: After specifying the parameter of the system, when system is divided in parts the parameter whose value remains unchanged due to division is known as Intensive parameter or properties. the value of intensive  is independent of the  mass (size or quantity) of the system.
 Refractive index
Surface tension
Viscosity
Molar Mass
Density
Free energy per mole
Specific heat capacity
Molar heat capacity
Free energy per mole
Pressure (P)
Temperature (T)
Boiling point
freezing point etc
Molar enthalpy
Molar conductivity
Equivalent conductivity
Molarity, Normality, Mole fraction,%w/w,%V/V
EMF of cell
 

Extensive property: the parameter  whose value change on division known as extensive properties and these are depends on the mass (size, quantity) of the system.
Volume  
Number of moles     
Mass
Mole 
Free Energy (G)
Entropy (S)      
Enthalpy (H)   
Internal energy (E&U)   
Heat capacity
K.E.
P.E.
Gibbs free energy (G)
Resistance
Conductance

Extensive and Intensive properties:

1: Extensive properties are additive but intensive properties are non additive.
2: Ratio of two extensive property gives an intensive property.
3: An extensive property can be converted into intensive property by defining it per mole/        per gram/ per liter

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.
 

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" ?

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"