Write the two kinds of thermodynamics state variables and explain.

Explanation

There are two thermodynamics state variables : (1) Extensive and (2) Intensive
Extensive variables indicate the size of the system. For examples : Internal energy U, volume V, total mass M and work.
Intensive variables does not indicate the pressure, temperature and dimension of a system.
To decide which variable is extensive and which intensive, think of a relevant system in equilibrium and imagine that it is divided two equal parts.
The variables that remain unchanged for each part are intensive. The variables whose values get halved in each part are extensive. It is easily seen. For example, internal energy U, volume V, total mass M are extensive variables. Pressure P. temperature T and density `rho` are intensive variable.
It is a good practice to check the consistency of thermodynamic equations using this classification of variables. For example, in the equation `DeltaQ = DeltaU + PDeltaV` quantities on both sides are extensive.
Pressure P is intensive variable and `DeltaV` is a extensive variable but product `PDeltaV` is an extensive variable.