Considering entropy \left ( S \right ) as a thermodynamic parameter, the criterion for the spontaneity of any process is:

Δ S_{s y s t e m} - Δ S_{s u r r o u n d i n g} > 0

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Δ S_{s y s t e m} > 0

only

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Δ S_{s u r r o u n d i n g s} > 0

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Δ S_{s y s t e m} + Δ S_{s u r r o u n d i n g} > 0

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Solution

The correct option is D $Δ S_{s y s t e m} + Δ S_{s u r r o u n d i n g} > 0$
$△ S_{u n i v e r s e} = △ S_{s y s t e m} + △ S_{s u r r o u n d i n g s}$
For a spontaneous process; $△ S_{u n i v e r s e} > 0$
$∴ △ S_{s y s t e m} + △ S_{s u r r o u n d i n g s} > 0$ .

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