question_answer

A thermo dynamical system undergo cyclic process ABCDA as shown in figure. Work done by the system is:

A) Zero                             

B) \[2{{P}_{0}}{{V}_{0}}\]

C) \[{{P}_{0}}V\]                         

D) \[\frac{3}{2}{{P}_{0}}{{V}_{0}}\]

Correct Answer: A

Solution :

\[{{\operatorname{W}}_{AEDA}}\,=+Area\,\,of\,\,\Delta \operatorname{AED}\] \[=\frac{1}{2}\times {{P}_{o}}{{V}_{o}}W=+ve\,\left( clockwise \right)\] \[{{\operatorname{W}}_{\operatorname{BCEB}}}\,=+Area\,\,of\,\,\Delta \operatorname{BCE}\] \[=-\frac{1}{2}\times {{P}_{o}}{{V}_{o}}W=-ve\,\left( Anticlockwise \right)\]\[{{W}_{net}}={{\operatorname{W}}_{AEDA}}+{{\operatorname{W}}_{\operatorname{BCEB}}}\] \[{{W}_{net}}=0\]