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The Sun does not have enough mass to go supernova and explode.  However, in about 5 billion years it will enter a red giant phase steadily expanding until it consumes the Earth.  But fear not, the Earth will already be dead in about 1 billion years due to the fact that the sun becomes about 10% brighter every billion years; so in 1 billion years the Earth’s surface temperature will be such that no liquid water will be able to exist unprotected on the surface of the Earth.