question_answer 14)

                  An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram (Fig.). The amount of work done by die gas is (a) \[6{{P}_{o}}{{V}_{o}}\]                     (b) \[-2{{P}_{o}}{{V}_{o}}\] (c) \[+2{{P}_{o}}{{V}_{o}}\]                   (d) \[+\,4{{P}_{o}}{{V}_{o}}\]                

Answer:

                  (b) Work done = Area under P ? V diagram                 = \[=2{{P}_{0}}{{V}_{0}}-4{{P}_{0}}{{V}_{0}}=2{{P}_{0}}{{V}_{0}}\]