Chapter (4)

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  4.1: Moving Boundary Work: It is the work associated with a moving boundary of the system. Consider the gas enclosed in piston-cylinder device shown in Fig., the initial pressure of the gas is P , the total volume is V  , and the cross-section area of the piston is  A . If the piston is allowed to move a distance ds  in a quasi-equilibrium manner, the differential work done during this process is :   CHAPTER (IV) ENERGY ANALYSIS OF CLOSED SYSTEM   (4-1)   1   The total boundary work done during the entire process as the piston moves is obtained by adding all the differential works from the initial state to the final state: This integral can be evaluated only if we know the  functional relationship between P  and V   during the process, which is the equation of the process path on P_V diagram. On this diagram the differential area dA  is equal to PdV   which is the differential work. So, the total area  A  under the process curve 1_2 is obtained by adding these differential areas:   2 (4-2)   (4-3)     So, the boundary work done during a process depends on the path followed as well as the end states, as shown in Fig. The net work done during a cycle is the difference between the work done by the system and the work done on the system.   3  4 Solution:  
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