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Ice melting is a spontaneous process because the order of the water molecules is interrupted, meaning that entropy increases (+∆S). Even though it requires energy (endothermic, +∆H), the reaction usually occurs in high temperatures, resulting in -∆G. The combustion of a natural gas is spontaneous because of a negative ∆H and positive ∆S, which leads to negative ∆G.
The melting of ice is spontaneous because its something that occurs naturally (in the right temperature). The way I like to think about it is that in an area with high heat the ice cube (devoid of heat) will naturally see energy diffuse into the ice breaking the bonds at the same time. The combustion of gas is spontaneous because it breaks complex organic molecules and breaks it into smaller pieces.
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