A process will be spontaneous at all temperatures if :

  • Option 1)

    \triangle H<0\: \: and\: \: \triangle S<0

  • Option 2)

    \triangle H>0\: \: and\: \: \triangle S<0

  • Option 3)

    \triangle H<0\: \: and\: \: \triangle S>0

  • Option 4)

    \triangle H>0\: \: and\: \: \triangle S>0

Answers (1)

Any process is spontaneous, when the GIbbs Free Energy (\triangle G) is negative;

ie.\triangle G<0

Now,

\triangle G=\triangle H -T\triangle S

\therefore \triangle H = -ve  or   \triangle H<0

\triangle S = +ve   or \triangle S>0

\therefore Option (3) is correct.

 


Option 1)

\triangle H<0\: \: and\: \: \triangle S<0

Option 2)

\triangle H>0\: \: and\: \: \triangle S<0

Option 3)

\triangle H<0\: \: and\: \: \triangle S>0

Option 4)

\triangle H>0\: \: and\: \: \triangle S>0

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