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Question

STATEMENT-1 : When an ideal gas is taken from a given thermodynamics state A to another given thermodynamic state B by any polytropic process, the change in the internal energy of the system will be the same in all processes.


STATEMENT-2 : Internal energy of the ideal gas depends only upon its absolute temperature.

A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
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B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
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C
STATEMENT-1 is True, STATEMENT-2 is False
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D
STATEMENT-1 is False, STATEMENT-2 is True
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Solution

The correct option is B STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
Internal energy being a state function, its change is same for same set of initial and final thermodynamic states. Hence, statement 1 is true.

For any ideal gas, internal energy is a function of temperature. But this statement is not a correct explanation for statement 1

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