An ideal monoatomic gas is carried around the cycle ABCDA as shown in the figure. The efficiency of the cycle is

Question

Infinity Learn · Accepted Answer

Efficiency  $$=$$ work doneheat $$absorbed=$$ area  of  the  PV diagramheat  absorbed         Heat absorbed in AB and BCQAB $$=$$ nCvdT  $$=$$  $$3R2n3To$$−To $$=$$ $$6RTo2(at$$ constant volume it pressure increases to $$3$$ times temperature also becomes $$3$$ $$times)$$  $$TB=3TAQBC$$ $$=$$ nCpdT $$=$$ $$5R2n6To$$−$$3To$$ $$=15RTo2(at$$ constant pressure if volume becomes double temperatureis also $$doubles)$$  $$TC=2TB=6TAEfficiency$$ $$=$$ $$2poVo21RTon2$$ $$=$$ $$4nRTo21nRTo$$ $$=421$$ ,% $$efficiency=421$$ ×$$100=19$$%

An ideal monoatomic gas is carried around the cycle ABCDA as shown in the figure. The efficiency of the cycle is

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