Match the LIST-I with LIST-II, Isothermal process for ideal gas system [2026]

Question

Match the LIST-I with LIST-II [2026]

	List - I		List - II
	Isothermal process for ideal gas system		Work done, $(V_{f} > V_{i})$
A.	Reversible expansion	I.	$w = 0$
B.	Free expansion	II.	$w = - n R T \ln \frac{V_{f}}{V_{i}}$
C.	Irreversible expansion	III.	$w = - p_{ex} (V_{f} - V_{i})$
D.	Irreversible compression	IV.	$w = - p_{ex} (V_{i} - V_{f})$

Choose the correct answer from the options given below:

Smart Achievers · Accepted Answer

(3)

$(A) W_{rev.} = - \int P_{gas} d V$

$W_{rev. iso. exp.} = - n R T \ln (\frac{V_{f}}{V_{i}})$

$(A) \to (I I)$

$(B) Free expansion$

$W_{irrev.} = - P_{ext} Δ V$

$P_{ext} = 0 \Rightarrow W = 0$

$(B) \to (I)$

$(C) Irreversible expansion$

$W_{irrev.} = - P_{ext} Δ V$

$= - P_{ext} (V_{f} - V_{i})$

$(C) \to (I I I)$

$(D) Irreversible compression$

$W_{irrev.} = - P_{ext} Δ V$

$= - P_{ext} (V_{i} - V_{f})$

$(D) \to (I V)$

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