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Physics · JEE27-M01 | Thermodynamics
हिन्दीMatch List-I with List-II for one mole of a monatomic ideal gas whose temperature rises from \(T_0\) to \(2T_0\): List-I List-II A Constant volume I \(1/2\) B Constant pressure II \(3/2\) C \(PV^2 = \text{constant}\) III \(2\) D \(P\) proportional to \(V\) IV \(5/2\) Which of the above statements is/are correct?
Match List-I with List-II for one mole of a monatomic ideal gas whose temperature rises from \(T_0\) to \(2T_0\):
| List-I | List-II | ||
|---|---|---|---|
| A | Constant volume | I | \(1/2\) |
| B | Constant pressure | II | \(3/2\) |
| C | \(PV^2 = \text{constant}\) | III | \(2\) |
| D | \(P\) proportional to \(V\) | IV | \(5/2\) |
Which of the above statements is/are correct?
View Answer & Solution
Correct answer · Option A
A-II, B-IV, C-I, D-III
Explanation
ΔU=(3/2)RT₀ for every process. A has W=0, so Q/(RT₀)=3/2. B has W=RT₀, giving 5/2. For PV²=constant, TV=constant and W=−RT₀, giving Q/(RT₀)=1/2. For P=kV, RT=kV²; W=k(Vf²−Vi²)/2=RT₀/2, giving Q/(RT₀)=2. Hence A-II, B-IV, C-I, D-III.
