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An ideal gas occupying a volume of 2dm^3 and a pressure of 5 bar undergoes isothermal and irreversible expansion against external pressure of 1 bar. The final volume of the system and the work involved in the process is

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An ideal gas occupying a volume of 2dm3 and a pressure of 5 bar undergoes isothermal and irreversible expansion against external pressure of 1 bar. The final volume of the system and the work involved in the process is

(a) 10 dm3, 1000 J

(b) 8 dm3, -800 J

(c) 10 dm3, -800 J

(d) 10 dm3, -1000 J

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Correct answer: (c) 10 dm3, -800 J

Explanation:

P1V1 = P2V2

∴ V = \(\frac{5\;bar \times 2dm^3}{1\;bar}\)

= 10 dm3

Work, W = -Pext(Vfinal - Vinitial)

= -1 bar (10 - 2)

= -1 x 105Pa x 8 x 10-3 m3

= -800 J

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