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A gas can be taken from to via two different processes and .

When path is used of heat flows into the system and of work is done by the system. If the path is work done by the system is , the heat flows into the system in the path is:
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When path is used of heat flows into the system and of work is done by the system. If the path is work done by the system is , the heat flows into the system in the path is:
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The correct answer is:
For path ,
For path
As initial and find points are the same, change in internal energy is same in both the cases
For path
As initial and find points are the same, change in internal energy is same in both the cases
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