An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these states $$areQ1$$ $$=$$ $$6000$$ J, $$Q2$$ $$=$$ – $$5500$$ J ; $$Q3$$ $$=$$ – $$3000$$ J; $$Q4$$ $$=$$ $$3500$$ $$JW1$$ $$=$$ $$2500$$ J; $$W2$$ $$=$$ – $$1000$$ J; $$W3$$ $$=$$ – $$1200$$ J; $$W4$$ $$=$$ xJ.The ratio of the net work done by the gas to the total heat abosrbed by the gas is 'η'. The values of x and 'η' respetively are

Question

An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these states $$areQ1$$ $$=$$ $$6000$$ J, $$Q2$$ $$=$$ – $$5500$$ J ;  $$Q3$$ $$=$$ – $$3000$$ J; $$Q4$$ $$=$$ $$3500$$ $$JW1$$ $$=$$ $$2500$$ J; $$W2$$ $$=$$ – $$1000$$ J; $$W3$$ $$=$$ – $$1200$$ J; $$W4$$ $$=$$ xJ.The ratio of the net work done by the gas to the total heat abosrbed by the gas is 'η'. The values of x and 'η' respetively are

Infinity Learn · Accepted Answer

Incyclic process Δu $$=$$ $$0Qnet$$ $$=$$ $$Wnet6000$$–$$5500$$–$$3000+3500$$ $$=$$ $$2500$$–$$1000$$–$$1200+xx$$ $$=$$ $$700$$ JWnet $$=$$ $$(2500$$ $$-$$ $$1000$$ $$-$$ $$1200$$ $$+$$ $$700)J=$$ $$1000Heat$$ supplied $$Q1$$ $$=$$ $$(6000$$ $$+$$ $$3500)J=$$ $$9500$$ J.

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