Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non-expansion work is zero)

Question

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Strategy:
 Compare the standard First Law expressions for specific processes against those provided in the options.

Step 1: Evaluate each case
- (1) Isochoric: . . (Correct)
- (2) Isochoric: As derived, . The option says , which translates to  (implying an isothermal process). (Incorrect)
- (3) Cyclic: For any cycle, . Thus . (Correct)
- (4) Adiabatic: . . (Correct)

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