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Heat and Work

Considering t...

Question

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

It is equivalent to

1 s t

law for a reversible process

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For an irreversible process,

T d S > d U + d V

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It is valid only for an ideal gas

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It is applicable only for a reversible process

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Solution

The correct option is A It is equivalent to $1 s t$ law for a reversible process
$T d S = d U + p d V$
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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