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Q. For a reaction to be spontaneous at all temperatures

Thermodynamics

Solution:

$\Delta G=\Delta H-T\Delta S$
For spontaneous reaction at all temperature
$\Delta H=-ve$
$\Delta S=+ve$
So $\Delta G=-ve$
$\Delta G=\Delta H-T\Delta S$
For spontaneous reaction at all temperature
$\Delta H=-ve$
$\Delta S=+ve$
So $\Delta G=-ve$