Find the work done by an ideal gas during a closed cycle $$1$$ – $$4$$ – $$3$$ – $$2$$ – $$1$$ as shown if $$P1$$ $$=$$ $$105$$ Pa, $$P0$$ $$=$$ $$3$$ ×$$105$$ Pa, $$P2$$ $$=$$ $$4$$ ×$$105$$ Pa, $$V2$$ – $$V1$$ $$=$$ $$100$$ litre and segments $$4$$ – $$3$$ and $$2$$ – $$1$$ of the cycle are parallel to the V – axis.

Question

Find the work done by an ideal gas during a closed cycle $$1$$ – $$4$$ – $$3$$ – $$2$$ – $$1$$ as shown if  $$P1$$ $$=$$ $$105$$ Pa, $$P0$$ $$=$$ $$3$$ ×$$105$$ Pa, $$P2$$ $$=$$ $$4$$ ×$$105$$ Pa, $$V2$$ – $$V1$$ $$=$$ $$100$$ litre and segments $$4$$ – $$3$$ and  $$2$$ – $$1$$ of the cycle are parallel to the V – axis.

Infinity Learn · Accepted Answer

Work done $$=$$ Area $$021$$ – Area $$043=12V2$$−$$V1P0$$−$$P0$$−$$12V4$$−$$V3P2$$−$$P0=12100$$×$$10$$−$$32$$×$$105$$−$$12P2$$−$$P0P0$$−$$P1V2$$−$$V1P2$$−$$P0=104$$−$$121052$$×$$105$$×$$100$$×$$10$$−$$3105J=104$$−$$2500=7500J$$

Find the work done by an ideal gas during a closed cycle 1 – 4 – 3 – 2 – 1 as shown if P₁ = 10⁵ Pa, P₀ = 3 $\times$ 10⁵ Pa, P₂ = 4 $\times$ 10⁵ Pa, V₂ – V₁ = 100 litre and segments 4 – 3 and 2 – 1 of the cycle are parallel to the V – axis.

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Find the work done by an ideal gas during a closed cycle 1 – 4 – 3 – 2 – 1 as shown if P1 = 105 Pa, P0 = 3 ×105 Pa, P2 = 4 ×105 Pa, V2 – V1 = 100 litre and segments 4 – 3 and 2 – 1 of the cycle are parallel to the V – axis.

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Ready to Test Your Skills?

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Find the work done by an ideal gas during a closed cycle 1 – 4 – 3 – 2 – 1 as shown if P₁ = 10⁵ Pa, P₀ = 3 $\times$ 10⁵ Pa, P₂ = 4 $\times$ 10⁵ Pa, V₂ – V₁ = 100 litre and segments 4 – 3 and 2 – 1 of the cycle are parallel to the V – axis.