## Work done determination from P-V graph Assignment Help

Assignment Help: >> Thermodynamics >> Work done determination from P-V graph

Work is path function, work done by a gas or done on a gas can be found from pressure-volume (P-V) graph. Area enclosed by P-V graph (also known as P-V indicator) is equal to  work done. In the following figure, work done can be calculated as follows. DIFFERENT CASES TO FIND WORK DONE

Suppose P as a function of V is known, P = f(V)

Then work done can be found by, Case (i): When P-V graph is given in which volume is constant When volume is fixed then work done is zero in isochoric process V = constant WAB  = 0 Case (ii):When volume is increasing V is increasing WAB> 0 , WAB  = Area enclosed by PV diagram (gas is expanding) Case (iii)When volume is decreasing V is decreasing WAB< 0 , WAB  = - area enclosed by PV diagram (gas is bring compressed) Case (iv):When process is cyclic WCB = WDA = 0 As WCD > 0 and WBD < 0 Also |WCD| > |WAB| +ve work done = (WCD) + (WAB) Case (VI):When process is incomplete cyclic. WBC = 0, WAD < 0, WCD > 0 But |WAB| > |WCD| Total work done = (WAB) + (WCD) (<0)

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