Ideal and real gases

Ideal and real gases

An ideal gas is one which follows the ideal gas equation
of state, namely PV = (m/M) (MR) T = n Ru T

The universal gas constant has a value of 8.314 J/mol K or kJ/kmol K
and is related to the specific gas constant by the relation Ru = (R
/M)

The ideal gas equation of state can be derived from the
kinetic theory of gases where the following assumptions are made:

1.  The molecules are independent of each other. In other words, there
are no attractive forces between the molecules.

2.  The molecules do not occupy any volume. That is the volume occupied
by the molecules is quite negligible compared to the volume available for
motion of the molecules.


The internal energy of an ideal gas is a function of temperature
only and is independent of pressure and volume. That is,

 

                                         u=  u(T) (∂u/∂P)T
=0, (∂u /∂v)
T = 0

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