Equation of state is the relation among the physical
quantities which are fundamental physical quantities in thermodynamics. They
are nothing but the relation among the coordinates of thermodynamics.
The locus of series of the points representing the states
through which the system passes is called as a path.
The complete description of the change of the state along
which the path that taken is called process.
Quasi static process is a very small and slow process in
which system goes to different states.
The process in which system after passing through various
states of pressure, volume and temperature changes, which returns to its
initial state is called as a cyclic process.
Problem and solution
In any cyclic process, the pressure and volume graph is the closed curve. Work done in this
process is calibrated as the area of the graph.
Reversible process
The process that can be retraced back in the opposite
direction in such a way that the system passes to the same states and finally
the system and surroundings returns to their original states. This shall be a
very slow process.
A process that cannot be retraced back in opposite direction
is called as a irreversible process.
Graphical representation of the work using PV diagrams
To calculate the work done we shall try a graph taking the
change in volume and x-axis and the change in pressure on y-axis.
When the pressure is constant and the graph is just straight
line parallel to x-axis.
When the process is a cyclic process the graph is a closed
curve as shown below.
And some more graphs are as shown below.
The process in which the pressure of a system is always kept
constant is called as a isobaric process. In this process to calculate the work
done we need not go for the process of integration.
The process in which the volume of a system is kept constant
is called as isochoric process. In this process as the volume is kept constant
the work done is equal to 0. All the heat energy supplied is equal to only
change in internal energy.
In a cyclic process the change in internal energy of the
system is equal to 0. It means the initial and final internal energies of the
system are equal.
The slope of a adiabatic graph between the pressure and
volume will be more than that of the isothermal process.
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