Answer:[tex]\Delta G[/tex]: -ve
[tex]\Delta H[/tex] : -ve,
[tex]\Delta S[/tex] : +ve
Explanation:
Endothermic reactions are those in which heat is absorbed by the system and exothermic reactions are those in which heat is released by the system.
[tex]\Delta H[/tex] for Endothermic reaction is positive and [tex]\Delta H[/tex] for Exothermic reaction is negative.
Entropy is the measure of randomness or disorder of a system. If a system moves from an ordered arrangement to a disordered arrangement, the entropy is said to decrease and vice versa.
[tex]\Delta S[/tex] is positive when randomness increases and [tex]\Delta S[/tex] is negative when randomness decreases.
[tex]2C_4H_{10}(g)+13O_2(g)\rightarrow 8CO_2(g)+10H_2O(g)[/tex]
As 15 moles of gaseous reactants are changing into 18 moles of gaseous products, randomness is increasing and thus [tex]\Delta S[/tex] is positive.
Using Gibbs Helmholtz equation:
[tex]\Delta G=\Delta H-T\Delta S[/tex]
[tex]\Delta G=(-ve)-T(+ve)[/tex]
[tex]\Delta G=(-ve)(-ve)=-ve[/tex]
Thus [tex]\Delta H[/tex] is negative , [tex]\Delta S[/tex] is positive and [tex]\Delta G[/tex] is negative.