Availability and unavailability energy

From  second law of thermodynamics we found that complete conversion of heat into work is not possible in a continuous process. Also it has been proved that the most efficient cycle to produce work is a reversible power cycle (Carnot cycle). Even in carnot cycle, the efficiency of conversion can never be unity and hence to establish a comparison of the work-energy conversion in actual processes, the maximum theoretical work obtainable with respect to some datum must be determined.

        Available and Unavailable Energy
The energy content of a system can be divided into two parts
         ·     Available energy, which under ideal conditions may be completely converted into work
         ·     Unavailable energy which is usually rejected as waste.


Consider Q units of heat energy available at a temperature T. Available part of energy can be obtained by assuming that the heat is supplied to a Carnot engine. Work obtained from the carnot engine  is the  available part.  The quantity is the unavailable part. In a T-S diagram these quantities can be represented as shown in the fig 6.1. The term T0  is the ambient temperature. Hence it can be concluded that the available and unavailable part of energy content of a system depends on the ambient conditions also.

Availability
The maximum useful work that can be obtained from the system such that the system comes to a dead state, while exchanging heat only with the surroundings, is known as availability of the system. Here the term dead state means a state where the system is in thermal and mechanical equilibrium with the surroundings.

Availability Change Involving Heat Exchange with Reservoirs
Consider a system undergoing a change of state while interacting with a reservoir kept at TR and atmosphere at pressure po and temperature To. Net heat transfer to the system.

          Irreversibility
Work obtained in an irreversible process will always be less than that of a reversible process. This difference is termed as irreversibility (i.e) the difference between the reversible work and the actual work for a given change of state of a system is called irreversibility.
I=Wrev- Wact
Let a stationary closed system receiving Q kJ  of heat is giving out Wact kJ of work. From first law of thermodynamics.