For the reaction 2H(g)⟶H2(g), the sign of ΔH and ΔSrespectively are
+,-
+, +
-,+
-,-
ΔH=−ve(H−H bond formed )ΔS=−veΔng=−1
2H→H2 the entropy of products is less than the reactants .so the ∆S=-ve from Gibbs equation
∆G=∆H-T.∆S
∆G=∆H+T.∆S(∆S=-ve)
for spontaneous reaction ∆G=-ve
so the above reaction ∆H is -ve