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Q. Statement 1: Internal energy change is zero if initial and final temperature is same. The temperature is constant, irrespective of the process being cyclic or non-cyclic.
Statement 2: $d U=n C_{\nu} d T$ for all process and is independent of path.

Thermodynamics

Solution:

Statement-1 is true, Statement-2 is true, and Statement-2 is a correct explanation for Statement-1.