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An ideal gas occupying a volume of $2 d m^{3}$ 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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$10 d m^{3}, - 800 J$

$8 d m^{3}, - 800 J$

$10 d m^{3}, 1000 J$

$10 m^{3}, - 1000 J$

answer is C.

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Detailed Solution

$P_{1} V_{1} = P_{2} V_{2}$

$2 \times 5 = 1 \times V_{2}$

$V_{2} = 10$

$W = - P d V$

$W = - 1 [10 - 2]$

$W = - 8 lit bar; 1 bar - lit = 100 J$

$= - 800 J$

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