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Spontaneity is determine using the Gibbs Free energy equation G=H-TS. Since -G is spontaneous, we want a large and positive delta S. However, you would need to plug in the values for temperature and enthalpy to really determine spontaneity because enthalpy could be greater than TS.
This question can also be considered more conceptually using the second law of thermodynamics. Since the entropy of the universe is always increasing, you can think of processes that increase entropy as naturally occurring, or spontaneous. However, whether or not delta G is actually negative depends on the magnitude of delta S relative to delta H.
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