An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path \(\mathrm{A} \rightarrow \mathrm{~B} \rightarrow \mathrm{C} \rightarrow \mathrm{D} \rightarrow \mathrm{~A}\) as shown in the three cases below:

Choose the correct option regarding change in internal energy, \(\Delta \mathrm{U} \):
1. \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-I)
2. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-III)
3. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II)
4. \(\Delta \mathrm{U}\) (Case-I) = \(\Delta \mathrm{U}\) (Case-II) = \(\Delta \mathrm{U}\) (Case-III) 
Subtopic:  Thermodynamics' Properties and process |
 81%
Level 1: 80%+
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