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Find the work done by an ideal gas during a closed cycle `1rarr2rarr3rarr4rarr1` as shown in figure. |
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Answer» Divide the cylics process `1rarr2rarr3rarr4rarr1` in two processes, `1rarrOrarr2` and `3rarrOrarr4`. In two similar Deltas `12O` and `3O4` `(3P_0-P_0)/(5V_0-V_0)=(4P_0-3P_0)/(V_4-V_3)impliesV_4-V_3=2V_0` `DeltaW_(1rarrOrarr2)=(1)/(2)xx(3P_0-P_0)(5V_0-V_0)=4P_0V_0` `DeltaW_(3rarrOrarr4)=-(1)/(4)xx(4P_0-3P_0)(V_4-V_3)` `=-(P_0)/(2)xx2V_0=-P_0V_0` `DeltaW_(1rarr2rarr3rarr4rarr1)=4P_0V_0-P_0V_0` `=3P_0V_0` |
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