Which of the following options is correct regarding spontaneity of a process occurring on a system in which only pressure-volume? work is involved and S, G, Cl, H, V, and P have usual meaning as in thermodynamics?

(d G)_{U, V} < 0, (d S)_{T, V} > 0

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(d H)_{S, V} < 0, (d G)_{T, P} < 0

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(d U)_{S, V} < 0, (d G)_{T, V} < 0

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(d S)_{H, P} > 0, (d G)_{T, P} < 0

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Solution

The correct option is A $(d S)_{H, P} > 0, (d G)_{T, P} < 0$
For the reaction to be spontenaous $Δ G$ that is gibb's free enrgy should be negative and entropy $(Δ S)$ should be positive.
For reaction to be spontaneous reaction $(Δ H)$ should also be negative i.e exothermic reaction.
Mathematically
$(d S)_{H . P} > 0$
$(d G)_{T, G} < 0$

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Which of the following options is correct regarding spontaneity of a process occurring on a system in which only pressure-volume? work is involved and S, G, Cl, H, V, and P have usual meaning as in thermodynamics?

The correct option is A (dS)H,P>0,(dG)T,P<0For the reaction to be spontenaous ΔG that is gibb's free enrgy should be negative and entropy (ΔS) should be positive.For reaction to be spontaneous reaction (ΔH) should also be negative i.e exothermic reaction.Mathematically(dS)H.P>0(dG)T,G<0