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Question

Considering the relationship Tds=dU+pdv between the entropy (S). Internal energy (U), pressure (p), temperature (T) and vaolume (V). Whihch of the following statements is correct?

A
It is equivalent to 1st law for a reversible process
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B
For an irreversible process, TdS>dU+dV
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C
It is valid only for an ideal gas
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D
It is applicable only for a reversible process
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Solution

The correct option is A It is equivalent to 1st law for a reversible process
TdS=dU+pdV
This equation holds for for any process reversible or irreversible, undergone by a closed system, since it is a relation among properties which are independent of path.

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