Under isothermal conditions, a gas at 300 K expands from 0.1 L to 0.25 L against a constant external pressure of 2 bar. The work done by the gas is [Given that 1 L bar = 100 J] [2019]

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Solution

Q.
Under isothermal conditions, a gas at 300 K expands from 0.1 L to 0.25 L against a constant external pressure of 2 bar. The work done by the gas is [Given that 1 L bar = 100 J] [2019]

1 30 J

2 -30 J

3 5 kJ

4 25 J

Ans.
(2)

Expansion of a gas against a constant external pressure is an irreversible process. The work done in an irreversible process

$= - P_{ext} Δ V = - P_{ext} (V_{2} - V_{1}) = - 2 (0.25 - 0.1)$

$= - 2 \times 0.15 L bar = - 0.30 \times 100 J = - 30 J$

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