An ideal gas undergoes a cyclic transformation starting from point A and coming back to the same point by tracing the path A→B→C→D→A as shown in the three cases below.
Choose the correct option regarding \(\Delta U\):
An ideal gas undergoes a cyclic transformation starting from point A and coming back to the same point by tracing the path A→B→C→D→A as shown in the three cases below.
Choose the correct option regarding \(\Delta U\):
Show Hint
- \(\Delta U({Case-III})>\Delta U({Case-II})>\Delta U({Case-I})\)
- \(\Delta U({Case-I}) = \Delta U({Case-II}) = \Delta U({Case-III})\)
- \(\Delta U({Case-I})>\Delta U({Case-II})>\Delta U({Case-III})\)
- \(\Delta U({Case-I})>\Delta U({Case-III})>\Delta U({Case-II})\)
The Correct Option is B
Solution and Explanation
- For a cyclic process, the internal energy change (\(\Delta U\)) is always zero as the system returns to its initial state.
- Since \(\Delta U\) is a state function, it depends only on the initial and final states, which are the same for all three cases.
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