JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
Match List - I with List - II. Given \(V_1\) and \(V_2\) are initial and final volumes respectively.
| List - I (Isothermal process) | List - II (Expression) |
|---|---|
| A. Reversible expansion | I. \(q = 0\) |
| B. Free expansion | II. \(q = nRT \ln\dfrac{V_2}{V_1}\) |
| C. Irreversible Compression | III. \(w = -p_{ext}(V_1 - V_2)\) |
| D. Cyclic reversible | IV. \(\dfrac{q_{rev}}{T} = 0\) |
- A A-II, B-III, C-I, D-IV
- B A-II, B-I, C-IV, D-III
- C A-II, B-I, C-III, D-IV
- D A-I, B-II, C-III, D-IV
Answer & Solution
Correct Answer
(C) A-II, B-I, C-III, D-IV
Step-by-step Solution
Detailed explanation
For an isothermal reversible expansion, the change in internal energy \(\Delta U = 0\). From the first law of thermodynamics, \(q = -w\). The work done is \(w = -nRT \ln\left(\dfrac{V_2}{V_1}\right)\), which gives \(q = nRT \ln\left(\dfrac{V_2}{V_1}\right)\). Thus, A matches II.…
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